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Finding the Third Proportional to 423,426 and 658,467

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Solution

The third proportional to 423,426 and 658,467 is: 1,023,977.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,426 : 658,467 = 658,467 : x
  2. Step 2: Convert to fraction form
    423,426/658,467 = 658,467/x
  3. Step 3: Cross multiply
    423,426x = 658,467 × 658,467
  4. Step 4: Simplify right side
    423,426x = 433,578,790,089
  5. Step 5: Solve for x
    x = 433,578,790,089/423,426
  6. Step 6: Final answer
    x = 1,023,977.72

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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.