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Finding the Third Proportional to 131,692 and 288,368

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Solution

The third proportional to 131,692 and 288,368 is: 631,443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,692 : 288,368 = 288,368 : x
  2. Step 2: Convert to fraction form
    131,692/288,368 = 288,368/x
  3. Step 3: Cross multiply
    131,692x = 288,368 × 288,368
  4. Step 4: Simplify right side
    131,692x = 83,156,103,424
  5. Step 5: Solve for x
    x = 83,156,103,424/131,692
  6. Step 6: Final answer
    x = 631,443.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.