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Finding the Third Proportional to 63,470 and 137,881

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Solution

The third proportional to 63,470 and 137,881 is: 299,530.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,470 : 137,881 = 137,881 : x
  2. Step 2: Convert to fraction form
    63,470/137,881 = 137,881/x
  3. Step 3: Cross multiply
    63,470x = 137,881 × 137,881
  4. Step 4: Simplify right side
    63,470x = 19,011,170,161
  5. Step 5: Solve for x
    x = 19,011,170,161/63,470
  6. Step 6: Final answer
    x = 299,530.02

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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.