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Finding the Third Proportional to 63,902.81 and 138,384.84

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Solution

The third proportional to 63,902.81 and 138,384.84 is: 299,679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,902.81 : 138,384.84 = 138,384.84 : x
  2. Step 2: Convert to fraction form
    63,902.81/138,384.84 = 138,384.84/x
  3. Step 3: Cross multiply
    63,902.81x = 138,384.84 × 138,384.84
  4. Step 4: Simplify right side
    63,902.81x = 19,150,364,979.71
  5. Step 5: Solve for x
    x = 19,150,364,979.71/63,902.81
  6. Step 6: Final answer
    x = 299,679.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.