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Finding the Third Proportional to 678,458 and 921,402

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Solution

The third proportional to 678,458 and 921,402 is: 1,251,340.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,458 : 921,402 = 921,402 : x
  2. Step 2: Convert to fraction form
    678,458/921,402 = 921,402/x
  3. Step 3: Cross multiply
    678,458x = 921,402 × 921,402
  4. Step 4: Simplify right side
    678,458x = 848,981,645,604
  5. Step 5: Solve for x
    x = 848,981,645,604/678,458
  6. Step 6: Final answer
    x = 1,251,340.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.