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Finding the Third Proportional to 138,874.50 and 210,259.13

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Solution

The third proportional to 138,874.50 and 210,259.13 is: 318,337.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,874.50 : 210,259.13 = 210,259.13 : x
  2. Step 2: Convert to fraction form
    138,874.50/210,259.13 = 210,259.13/x
  3. Step 3: Cross multiply
    138,874.50x = 210,259.13 × 210,259.13
  4. Step 4: Simplify right side
    138,874.50x = 44,208,899,645.77
  5. Step 5: Solve for x
    x = 44,208,899,645.77/138,874.50
  6. Step 6: Final answer
    x = 318,337.06

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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.