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Finding the Third Proportional to 431,432 and 653,184

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Solution

The third proportional to 431,432 and 653,184 is: 988,914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,432 : 653,184 = 653,184 : x
  2. Step 2: Convert to fraction form
    431,432/653,184 = 653,184/x
  3. Step 3: Cross multiply
    431,432x = 653,184 × 653,184
  4. Step 4: Simplify right side
    431,432x = 426,649,337,856
  5. Step 5: Solve for x
    x = 426,649,337,856/431,432
  6. Step 6: Final answer
    x = 988,914.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.