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Finding the Third Proportional to 302,860 and 658,748

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Solution

The third proportional to 302,860 and 658,748 is: 1,432,836.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,860 : 658,748 = 658,748 : x
  2. Step 2: Convert to fraction form
    302,860/658,748 = 658,748/x
  3. Step 3: Cross multiply
    302,860x = 658,748 × 658,748
  4. Step 4: Simplify right side
    302,860x = 433,948,927,504
  5. Step 5: Solve for x
    x = 433,948,927,504/302,860
  6. Step 6: Final answer
    x = 1,432,836.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.