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Finding the Third Proportional to 63,088 and 138,464

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Solution

The third proportional to 63,088 and 138,464 is: 303,897.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,088 : 138,464 = 138,464 : x
  2. Step 2: Convert to fraction form
    63,088/138,464 = 138,464/x
  3. Step 3: Cross multiply
    63,088x = 138,464 × 138,464
  4. Step 4: Simplify right side
    63,088x = 19,172,279,296
  5. Step 5: Solve for x
    x = 19,172,279,296/63,088
  6. Step 6: Final answer
    x = 303,897.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.