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Finding the Third Proportional to 78,762.38 and 106,115.06

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Solution

The third proportional to 78,762.38 and 106,115.06 is: 142,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,762.38 : 106,115.06 = 106,115.06 : x
  2. Step 2: Convert to fraction form
    78,762.38/106,115.06 = 106,115.06/x
  3. Step 3: Cross multiply
    78,762.38x = 106,115.06 × 106,115.06
  4. Step 4: Simplify right side
    78,762.38x = 11,260,406,489.38
  5. Step 5: Solve for x
    x = 11,260,406,489.38/78,762.38
  6. Step 6: Final answer
    x = 142,966.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.