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Finding the Third Proportional to 270,776.25 and 420,967.13

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Solution

The third proportional to 270,776.25 and 420,967.13 is: 654,464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,776.25 : 420,967.13 = 420,967.13 : x
  2. Step 2: Convert to fraction form
    270,776.25/420,967.13 = 420,967.13/x
  3. Step 3: Cross multiply
    270,776.25x = 420,967.13 × 420,967.13
  4. Step 4: Simplify right side
    270,776.25x = 177,213,320,330.77
  5. Step 5: Solve for x
    x = 177,213,320,330.77/270,776.25
  6. Step 6: Final answer
    x = 654,464.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.