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Finding the Third Proportional to 357,648 and 744,672

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Solution

The third proportional to 357,648 and 744,672 is: 1,550,508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,648 : 744,672 = 744,672 : x
  2. Step 2: Convert to fraction form
    357,648/744,672 = 744,672/x
  3. Step 3: Cross multiply
    357,648x = 744,672 × 744,672
  4. Step 4: Simplify right side
    357,648x = 554,536,387,584
  5. Step 5: Solve for x
    x = 554,536,387,584/357,648
  6. Step 6: Final answer
    x = 1,550,508.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.