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Finding the Third Proportional to 409,588 and 614,382.25

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Solution

The third proportional to 409,588 and 614,382.25 is: 921,573.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,588 : 614,382.25 = 614,382.25 : x
  2. Step 2: Convert to fraction form
    409,588/614,382.25 = 614,382.25/x
  3. Step 3: Cross multiply
    409,588x = 614,382.25 × 614,382.25
  4. Step 4: Simplify right side
    409,588x = 377,465,549,115.06
  5. Step 5: Solve for x
    x = 377,465,549,115.06/409,588
  6. Step 6: Final answer
    x = 921,573.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.