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Finding the Third Proportional to 431,420 and 653,162

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Solution

The third proportional to 431,420 and 653,162 is: 988,875.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,420 : 653,162 = 653,162 : x
  2. Step 2: Convert to fraction form
    431,420/653,162 = 653,162/x
  3. Step 3: Cross multiply
    431,420x = 653,162 × 653,162
  4. Step 4: Simplify right side
    431,420x = 426,620,598,244
  5. Step 5: Solve for x
    x = 426,620,598,244/431,420
  6. Step 6: Final answer
    x = 988,875.34

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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.