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Finding the Third Proportional to 63,887 and 138,970

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Solution

The third proportional to 63,887 and 138,970 is: 302,294.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,887 : 138,970 = 138,970 : x
  2. Step 2: Convert to fraction form
    63,887/138,970 = 138,970/x
  3. Step 3: Cross multiply
    63,887x = 138,970 × 138,970
  4. Step 4: Simplify right side
    63,887x = 19,312,660,900
  5. Step 5: Solve for x
    x = 19,312,660,900/63,887
  6. Step 6: Final answer
    x = 302,294.06

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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.