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Finding the Third Proportional to 308,332 and 669,076

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Solution

The third proportional to 308,332 and 669,076 is: 1,451,885.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,332 : 669,076 = 669,076 : x
  2. Step 2: Convert to fraction form
    308,332/669,076 = 669,076/x
  3. Step 3: Cross multiply
    308,332x = 669,076 × 669,076
  4. Step 4: Simplify right side
    308,332x = 447,662,693,776
  5. Step 5: Solve for x
    x = 447,662,693,776/308,332
  6. Step 6: Final answer
    x = 1,451,885.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.