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Finding the Third Proportional to 423,422 and 658,461

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Solution

The third proportional to 423,422 and 658,461 is: 1,023,968.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,422 : 658,461 = 658,461 : x
  2. Step 2: Convert to fraction form
    423,422/658,461 = 658,461/x
  3. Step 3: Cross multiply
    423,422x = 658,461 × 658,461
  4. Step 4: Simplify right side
    423,422x = 433,570,888,521
  5. Step 5: Solve for x
    x = 433,570,888,521/423,422
  6. Step 6: Final answer
    x = 1,023,968.73

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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.