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Finding the Third Proportional to 85,618.13 and 136,354.50

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Solution

The third proportional to 85,618.13 and 136,354.50 is: 217,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,618.13 : 136,354.50 = 136,354.50 : x
  2. Step 2: Convert to fraction form
    85,618.13/136,354.50 = 136,354.50/x
  3. Step 3: Cross multiply
    85,618.13x = 136,354.50 × 136,354.50
  4. Step 4: Simplify right side
    85,618.13x = 18,592,549,670.25
  5. Step 5: Solve for x
    x = 18,592,549,670.25/85,618.13
  6. Step 6: Final answer
    x = 217,156.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.