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Finding the Third Proportional to 125,215.50 and 278,423.25

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Solution

The third proportional to 125,215.50 and 278,423.25 is: 619,088.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,215.50 : 278,423.25 = 278,423.25 : x
  2. Step 2: Convert to fraction form
    125,215.50/278,423.25 = 278,423.25/x
  3. Step 3: Cross multiply
    125,215.50x = 278,423.25 × 278,423.25
  4. Step 4: Simplify right side
    125,215.50x = 77,519,506,140.56
  5. Step 5: Solve for x
    x = 77,519,506,140.56/125,215.50
  6. Step 6: Final answer
    x = 619,088.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.