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Finding the Third Proportional to 102,572 and 215,508

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Solution

The third proportional to 102,572 and 215,508 is: 452,791.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,572 : 215,508 = 215,508 : x
  2. Step 2: Convert to fraction form
    102,572/215,508 = 215,508/x
  3. Step 3: Cross multiply
    102,572x = 215,508 × 215,508
  4. Step 4: Simplify right side
    102,572x = 46,443,698,064
  5. Step 5: Solve for x
    x = 46,443,698,064/102,572
  6. Step 6: Final answer
    x = 452,791.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.