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Finding the Third Proportional to 431,421 and 653,166

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Solution

The third proportional to 431,421 and 653,166 is: 988,885.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,421 : 653,166 = 653,166 : x
  2. Step 2: Convert to fraction form
    431,421/653,166 = 653,166/x
  3. Step 3: Cross multiply
    431,421x = 653,166 × 653,166
  4. Step 4: Simplify right side
    431,421x = 426,625,823,556
  5. Step 5: Solve for x
    x = 426,625,823,556/431,421
  6. Step 6: Final answer
    x = 988,885.16

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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.