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Finding the Third Proportional to 443,672 and 665,292

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Solution

The third proportional to 443,672 and 665,292 is: 997,614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,672 : 665,292 = 665,292 : x
  2. Step 2: Convert to fraction form
    443,672/665,292 = 665,292/x
  3. Step 3: Cross multiply
    443,672x = 665,292 × 665,292
  4. Step 4: Simplify right side
    443,672x = 442,613,445,264
  5. Step 5: Solve for x
    x = 442,613,445,264/443,672
  6. Step 6: Final answer
    x = 997,614.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.