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Finding the Third Proportional to 310,159.13 and 420,940.55

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Solution

The third proportional to 310,159.13 and 420,940.55 is: 571,290.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,159.13 : 420,940.55 = 420,940.55 : x
  2. Step 2: Convert to fraction form
    310,159.13/420,940.55 = 420,940.55/x
  3. Step 3: Cross multiply
    310,159.13x = 420,940.55 × 420,940.55
  4. Step 4: Simplify right side
    310,159.13x = 177,190,944,003.42
  5. Step 5: Solve for x
    x = 177,190,944,003.42/310,159.13
  6. Step 6: Final answer
    x = 571,290.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.