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Finding the Third Proportional to 85,870.13 and 136,723.57

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Solution

The third proportional to 85,870.13 and 136,723.57 is: 217,693.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,870.13 : 136,723.57 = 136,723.57 : x
  2. Step 2: Convert to fraction form
    85,870.13/136,723.57 = 136,723.57/x
  3. Step 3: Cross multiply
    85,870.13x = 136,723.57 × 136,723.57
  4. Step 4: Simplify right side
    85,870.13x = 18,693,334,679.00
  5. Step 5: Solve for x
    x = 18,693,334,679.00/85,870.13
  6. Step 6: Final answer
    x = 217,693.11

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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.