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Finding the Third Proportional to 207,281,742 and 309,780,212

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Solution

The third proportional to 207,281,742 and 309,780,212 is: 462,963,012.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,281,742 : 309,780,212 = 309,780,212 : x
  2. Step 2: Convert to fraction form
    207,281,742/309,780,212 = 309,780,212/x
  3. Step 3: Cross multiply
    207,281,742x = 309,780,212 × 309,780,212
  4. Step 4: Simplify right side
    207,281,742x = 95,963,779,746,764,944
  5. Step 5: Solve for x
    x = 95,963,779,746,764,944/207,281,742
  6. Step 6: Final answer
    x = 462,963,012.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.