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Finding the Third Proportional to 30,897 and 67,457

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Solution

The third proportional to 30,897 and 67,457 is: 147,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897 : 67,457 = 67,457 : x
  2. Step 2: Convert to fraction form
    30,897/67,457 = 67,457/x
  3. Step 3: Cross multiply
    30,897x = 67,457 × 67,457
  4. Step 4: Simplify right side
    30,897x = 4,550,446,849
  5. Step 5: Solve for x
    x = 4,550,446,849/30,897
  6. Step 6: Final answer
    x = 147,277.95

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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.