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Finding the Third Proportional to 63,790 and 138,664

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Solution

The third proportional to 63,790 and 138,664 is: 301,421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,790 : 138,664 = 138,664 : x
  2. Step 2: Convert to fraction form
    63,790/138,664 = 138,664/x
  3. Step 3: Cross multiply
    63,790x = 138,664 × 138,664
  4. Step 4: Simplify right side
    63,790x = 19,227,704,896
  5. Step 5: Solve for x
    x = 19,227,704,896/63,790
  6. Step 6: Final answer
    x = 301,421.93

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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.