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Finding the Third Proportional to 131,603 and 289,442

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Solution

The third proportional to 131,603 and 289,442 is: 636,586.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,603 : 289,442 = 289,442 : x
  2. Step 2: Convert to fraction form
    131,603/289,442 = 289,442/x
  3. Step 3: Cross multiply
    131,603x = 289,442 × 289,442
  4. Step 4: Simplify right side
    131,603x = 83,776,671,364
  5. Step 5: Solve for x
    x = 83,776,671,364/131,603
  6. Step 6: Final answer
    x = 636,586.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.