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Finding the Third Proportional to 418,438 and 921,332

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Solution

The third proportional to 418,438 and 921,332 is: 2,028,622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,438 : 921,332 = 921,332 : x
  2. Step 2: Convert to fraction form
    418,438/921,332 = 921,332/x
  3. Step 3: Cross multiply
    418,438x = 921,332 × 921,332
  4. Step 4: Simplify right side
    418,438x = 848,852,654,224
  5. Step 5: Solve for x
    x = 848,852,654,224/418,438
  6. Step 6: Final answer
    x = 2,028,622.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.