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Finding the Third Proportional to 458,708 and 674,546

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Solution

The third proportional to 458,708 and 674,546 is: 991,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,708 : 674,546 = 674,546 : x
  2. Step 2: Convert to fraction form
    458,708/674,546 = 674,546/x
  3. Step 3: Cross multiply
    458,708x = 674,546 × 674,546
  4. Step 4: Simplify right side
    458,708x = 455,012,306,116
  5. Step 5: Solve for x
    x = 455,012,306,116/458,708
  6. Step 6: Final answer
    x = 991,943.25

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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.