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Finding the Third Proportional to 153,620 and 206,454

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Solution

The third proportional to 153,620 and 206,454 is: 277,459.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,620 : 206,454 = 206,454 : x
  2. Step 2: Convert to fraction form
    153,620/206,454 = 206,454/x
  3. Step 3: Cross multiply
    153,620x = 206,454 × 206,454
  4. Step 4: Simplify right side
    153,620x = 42,623,254,116
  5. Step 5: Solve for x
    x = 42,623,254,116/153,620
  6. Step 6: Final answer
    x = 277,459.02

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.