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Finding the Third Proportional to 63,881.16 and 138,947.91

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Solution

The third proportional to 63,881.16 and 138,947.91 is: 302,225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,881.16 : 138,947.91 = 138,947.91 : x
  2. Step 2: Convert to fraction form
    63,881.16/138,947.91 = 138,947.91/x
  3. Step 3: Cross multiply
    63,881.16x = 138,947.91 × 138,947.91
  4. Step 4: Simplify right side
    63,881.16x = 19,306,520,651.26
  5. Step 5: Solve for x
    x = 19,306,520,651.26/63,881.16
  6. Step 6: Final answer
    x = 302,225.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.