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Finding the Third Proportional to 275,292 and 403,839.75

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Solution

The third proportional to 275,292 and 403,839.75 is: 592,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,292 : 403,839.75 = 403,839.75 : x
  2. Step 2: Convert to fraction form
    275,292/403,839.75 = 403,839.75/x
  3. Step 3: Cross multiply
    275,292x = 403,839.75 × 403,839.75
  4. Step 4: Simplify right side
    275,292x = 163,086,543,680.06
  5. Step 5: Solve for x
    x = 163,086,543,680.06/275,292
  6. Step 6: Final answer
    x = 592,412.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.