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Finding the Third Proportional to 403,919 and 598,080

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Solution

The third proportional to 403,919 and 598,080 is: 885,572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,919 : 598,080 = 598,080 : x
  2. Step 2: Convert to fraction form
    403,919/598,080 = 598,080/x
  3. Step 3: Cross multiply
    403,919x = 598,080 × 598,080
  4. Step 4: Simplify right side
    403,919x = 357,699,686,400
  5. Step 5: Solve for x
    x = 357,699,686,400/403,919
  6. Step 6: Final answer
    x = 885,572.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.