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Finding the Third Proportional to 51,070.50 and 84,402

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Solution

The third proportional to 51,070.50 and 84,402 is: 139,487.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,070.50 : 84,402 = 84,402 : x
  2. Step 2: Convert to fraction form
    51,070.50/84,402 = 84,402/x
  3. Step 3: Cross multiply
    51,070.50x = 84,402 × 84,402
  4. Step 4: Simplify right side
    51,070.50x = 7,123,697,604
  5. Step 5: Solve for x
    x = 7,123,697,604/51,070.50
  6. Step 6: Final answer
    x = 139,487.52

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.