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Finding the Third Proportional to 431,418 and 653,159

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Solution

The third proportional to 431,418 and 653,159 is: 988,870.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,418 : 653,159 = 653,159 : x
  2. Step 2: Convert to fraction form
    431,418/653,159 = 653,159/x
  3. Step 3: Cross multiply
    431,418x = 653,159 × 653,159
  4. Step 4: Simplify right side
    431,418x = 426,616,679,281
  5. Step 5: Solve for x
    x = 426,616,679,281/431,418
  6. Step 6: Final answer
    x = 988,870.84

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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.