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Finding the Third Proportional to 423,420 and 658,458

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Solution

The third proportional to 423,420 and 658,458 is: 1,023,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,420 : 658,458 = 658,458 : x
  2. Step 2: Convert to fraction form
    423,420/658,458 = 658,458/x
  3. Step 3: Cross multiply
    423,420x = 658,458 × 658,458
  4. Step 4: Simplify right side
    423,420x = 433,566,937,764
  5. Step 5: Solve for x
    x = 433,566,937,764/423,420
  6. Step 6: Final answer
    x = 1,023,964.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.