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Finding the Third Proportional to 85,306.50 and 133,808.63

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Solution

The third proportional to 85,306.50 and 133,808.63 is: 209,887.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,306.50 : 133,808.63 = 133,808.63 : x
  2. Step 2: Convert to fraction form
    85,306.50/133,808.63 = 133,808.63/x
  3. Step 3: Cross multiply
    85,306.50x = 133,808.63 × 133,808.63
  4. Step 4: Simplify right side
    85,306.50x = 17,904,748,124.39
  5. Step 5: Solve for x
    x = 17,904,748,124.39/85,306.50
  6. Step 6: Final answer
    x = 209,887.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.