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Finding the Third Proportional to 63,480 and 137,895

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Solution

The third proportional to 63,480 and 137,895 is: 299,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,480 : 137,895 = 137,895 : x
  2. Step 2: Convert to fraction form
    63,480/137,895 = 137,895/x
  3. Step 3: Cross multiply
    63,480x = 137,895 × 137,895
  4. Step 4: Simplify right side
    63,480x = 19,015,031,025
  5. Step 5: Solve for x
    x = 19,015,031,025/63,480
  6. Step 6: Final answer
    x = 299,543.65

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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.