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Finding the Third Proportional to 207,970 and 316,332

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Solution

The third proportional to 207,970 and 316,332 is: 481,155.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,970 : 316,332 = 316,332 : x
  2. Step 2: Convert to fraction form
    207,970/316,332 = 316,332/x
  3. Step 3: Cross multiply
    207,970x = 316,332 × 316,332
  4. Step 4: Simplify right side
    207,970x = 100,065,934,224
  5. Step 5: Solve for x
    x = 100,065,934,224/207,970
  6. Step 6: Final answer
    x = 481,155.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.