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Finding the Third Proportional to 357,642 and 744,660

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Solution

The third proportional to 357,642 and 744,660 is: 1,550,484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,642 : 744,660 = 744,660 : x
  2. Step 2: Convert to fraction form
    357,642/744,660 = 744,660/x
  3. Step 3: Cross multiply
    357,642x = 744,660 × 744,660
  4. Step 4: Simplify right side
    357,642x = 554,518,515,600
  5. Step 5: Solve for x
    x = 554,518,515,600/357,642
  6. Step 6: Final answer
    x = 1,550,484.89

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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.