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Finding the Third Proportional to 413,240.77 and 638,562.23

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Solution

The third proportional to 413,240.77 and 638,562.23 is: 986,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,240.77 : 638,562.23 = 638,562.23 : x
  2. Step 2: Convert to fraction form
    413,240.77/638,562.23 = 638,562.23/x
  3. Step 3: Cross multiply
    413,240.77x = 638,562.23 × 638,562.23
  4. Step 4: Simplify right side
    413,240.77x = 407,761,727,169.99
  5. Step 5: Solve for x
    x = 407,761,727,169.99/413,240.77
  6. Step 6: Final answer
    x = 986,741.29

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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.