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Finding the Third Proportional to 133,409 and 291,442

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Solution

The third proportional to 133,409 and 291,442 is: 636,676.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,409 : 291,442 = 291,442 : x
  2. Step 2: Convert to fraction form
    133,409/291,442 = 291,442/x
  3. Step 3: Cross multiply
    133,409x = 291,442 × 291,442
  4. Step 4: Simplify right side
    133,409x = 84,938,439,364
  5. Step 5: Solve for x
    x = 84,938,439,364/133,409
  6. Step 6: Final answer
    x = 636,676.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.