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Finding the Third Proportional to 443,684 and 724,416

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Solution

The third proportional to 443,684 and 724,416 is: 1,182,775.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,684 : 724,416 = 724,416 : x
  2. Step 2: Convert to fraction form
    443,684/724,416 = 724,416/x
  3. Step 3: Cross multiply
    443,684x = 724,416 × 724,416
  4. Step 4: Simplify right side
    443,684x = 524,778,541,056
  5. Step 5: Solve for x
    x = 524,778,541,056/443,684
  6. Step 6: Final answer
    x = 1,182,775.45

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.