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Finding the Third Proportional to 130,217.50 and 278,867

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Solution

The third proportional to 130,217.50 and 278,867 is: 597,207.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,217.50 : 278,867 = 278,867 : x
  2. Step 2: Convert to fraction form
    130,217.50/278,867 = 278,867/x
  3. Step 3: Cross multiply
    130,217.50x = 278,867 × 278,867
  4. Step 4: Simplify right side
    130,217.50x = 77,766,803,689
  5. Step 5: Solve for x
    x = 77,766,803,689/130,217.50
  6. Step 6: Final answer
    x = 597,207.01

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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.