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Finding the Third Proportional to 178,745,013 and 384,879,980.25

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Solution

The third proportional to 178,745,013 and 384,879,980.25 is: 828,736,962.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,745,013 : 384,879,980.25 = 384,879,980.25 : x
  2. Step 2: Convert to fraction form
    178,745,013/384,879,980.25 = 384,879,980.25/x
  3. Step 3: Cross multiply
    178,745,013x = 384,879,980.25 × 384,879,980.25
  4. Step 4: Simplify right side
    178,745,013x = 148,132,599,197,240,384
  5. Step 5: Solve for x
    x = 148,132,599,197,240,384/178,745,013
  6. Step 6: Final answer
    x = 828,736,962.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.