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Finding the Third Proportional to 63,488 and 135,724

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Solution

The third proportional to 63,488 and 135,724 is: 290,149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,488 : 135,724 = 135,724 : x
  2. Step 2: Convert to fraction form
    63,488/135,724 = 135,724/x
  3. Step 3: Cross multiply
    63,488x = 135,724 × 135,724
  4. Step 4: Simplify right side
    63,488x = 18,421,004,176
  5. Step 5: Solve for x
    x = 18,421,004,176/63,488
  6. Step 6: Final answer
    x = 290,149.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.