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Finding the Third Proportional to 411,240.38 and 613,437.75

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Solution

The third proportional to 411,240.38 and 613,437.75 is: 915,050.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,240.38 : 613,437.75 = 613,437.75 : x
  2. Step 2: Convert to fraction form
    411,240.38/613,437.75 = 613,437.75/x
  3. Step 3: Cross multiply
    411,240.38x = 613,437.75 × 613,437.75
  4. Step 4: Simplify right side
    411,240.38x = 376,305,873,125.06
  5. Step 5: Solve for x
    x = 376,305,873,125.06/411,240.38
  6. Step 6: Final answer
    x = 915,050.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.