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Finding the Third Proportional to 458,618 and 660,577

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Solution

The third proportional to 458,618 and 660,577 is: 951,471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,618 : 660,577 = 660,577 : x
  2. Step 2: Convert to fraction form
    458,618/660,577 = 660,577/x
  3. Step 3: Cross multiply
    458,618x = 660,577 × 660,577
  4. Step 4: Simplify right side
    458,618x = 436,361,972,929
  5. Step 5: Solve for x
    x = 436,361,972,929/458,618
  6. Step 6: Final answer
    x = 951,471.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.