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Finding the Third Proportional to 400,438 and 711,836

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Solution

The third proportional to 400,438 and 711,836 is: 1,265,390.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,438 : 711,836 = 711,836 : x
  2. Step 2: Convert to fraction form
    400,438/711,836 = 711,836/x
  3. Step 3: Cross multiply
    400,438x = 711,836 × 711,836
  4. Step 4: Simplify right side
    400,438x = 506,710,490,896
  5. Step 5: Solve for x
    x = 506,710,490,896/400,438
  6. Step 6: Final answer
    x = 1,265,390.62

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.