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Finding the Third Proportional to 204,649,894,554 and 456,355,432,011

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Solution

The third proportional to 204,649,894,554 and 456,355,432,011 is: 1,017,641,767,076.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,649,894,554 : 456,355,432,011 = 456,355,432,011 : x
  2. Step 2: Convert to fraction form
    204,649,894,554/456,355,432,011 = 456,355,432,011/x
  3. Step 3: Cross multiply
    204,649,894,554x = 456,355,432,011 × 456,355,432,011
  4. Step 4: Simplify right side
    204,649,894,554x = 208,260,280,325,946,432,552,960
  5. Step 5: Solve for x
    x = 208,260,280,325,946,432,552,960/204,649,894,554
  6. Step 6: Final answer
    x = 1,017,641,767,076.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.