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Finding the Third Proportional to 207,002 and 316,539

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Solution

The third proportional to 207,002 and 316,539 is: 484,038.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,002 : 316,539 = 316,539 : x
  2. Step 2: Convert to fraction form
    207,002/316,539 = 316,539/x
  3. Step 3: Cross multiply
    207,002x = 316,539 × 316,539
  4. Step 4: Simplify right side
    207,002x = 100,196,938,521
  5. Step 5: Solve for x
    x = 100,196,938,521/207,002
  6. Step 6: Final answer
    x = 484,038.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.