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Finding the Third Proportional to 207,281,738 and 309,780,207

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Solution

The third proportional to 207,281,738 and 309,780,207 is: 462,963,006.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,281,738 : 309,780,207 = 309,780,207 : x
  2. Step 2: Convert to fraction form
    207,281,738/309,780,207 = 309,780,207/x
  3. Step 3: Cross multiply
    207,281,738x = 309,780,207 × 309,780,207
  4. Step 4: Simplify right side
    207,281,738x = 95,963,776,648,962,848
  5. Step 5: Solve for x
    x = 95,963,776,648,962,848/207,281,738
  6. Step 6: Final answer
    x = 462,963,006.65

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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.