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Finding the Third Proportional to 207,207 and 309,532

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Solution

The third proportional to 207,207 and 309,532 is: 462,388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,207 : 309,532 = 309,532 : x
  2. Step 2: Convert to fraction form
    207,207/309,532 = 309,532/x
  3. Step 3: Cross multiply
    207,207x = 309,532 × 309,532
  4. Step 4: Simplify right side
    207,207x = 95,810,059,024
  5. Step 5: Solve for x
    x = 95,810,059,024/207,207
  6. Step 6: Final answer
    x = 462,388.14

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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.