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Finding the Third Proportional to 64,454.06 and 138,781.69

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Solution

The third proportional to 64,454.06 and 138,781.69 is: 298,823.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,454.06 : 138,781.69 = 138,781.69 : x
  2. Step 2: Convert to fraction form
    64,454.06/138,781.69 = 138,781.69/x
  3. Step 3: Cross multiply
    64,454.06x = 138,781.69 × 138,781.69
  4. Step 4: Simplify right side
    64,454.06x = 19,260,356,785.35
  5. Step 5: Solve for x
    x = 19,260,356,785.35/64,454.06
  6. Step 6: Final answer
    x = 298,823.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.