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Finding the Third Proportional to 138,301 and 208,724

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Solution

The third proportional to 138,301 and 208,724 is: 315,006.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,301 : 208,724 = 208,724 : x
  2. Step 2: Convert to fraction form
    138,301/208,724 = 208,724/x
  3. Step 3: Cross multiply
    138,301x = 208,724 × 208,724
  4. Step 4: Simplify right side
    138,301x = 43,565,708,176
  5. Step 5: Solve for x
    x = 43,565,708,176/138,301
  6. Step 6: Final answer
    x = 315,006.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.