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Finding the Third Proportional to 128,270.25 and 278,446.50

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Solution

The third proportional to 128,270.25 and 278,446.50 is: 604,446.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,270.25 : 278,446.50 = 278,446.50 : x
  2. Step 2: Convert to fraction form
    128,270.25/278,446.50 = 278,446.50/x
  3. Step 3: Cross multiply
    128,270.25x = 278,446.50 × 278,446.50
  4. Step 4: Simplify right side
    128,270.25x = 77,532,453,362.25
  5. Step 5: Solve for x
    x = 77,532,453,362.25/128,270.25
  6. Step 6: Final answer
    x = 604,446.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.