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Finding the Third Proportional to 76,987.13 and 114,356.81

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Solution

The third proportional to 76,987.13 and 114,356.81 is: 169,865.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,987.13 : 114,356.81 = 114,356.81 : x
  2. Step 2: Convert to fraction form
    76,987.13/114,356.81 = 114,356.81/x
  3. Step 3: Cross multiply
    76,987.13x = 114,356.81 × 114,356.81
  4. Step 4: Simplify right side
    76,987.13x = 13,077,480,565.16
  5. Step 5: Solve for x
    x = 13,077,480,565.16/76,987.13
  6. Step 6: Final answer
    x = 169,865.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.