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Finding the Third Proportional to 42,312 and 63,378

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Solution

The third proportional to 42,312 and 63,378 is: 94,932.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,312 : 63,378 = 63,378 : x
  2. Step 2: Convert to fraction form
    42,312/63,378 = 63,378/x
  3. Step 3: Cross multiply
    42,312x = 63,378 × 63,378
  4. Step 4: Simplify right side
    42,312x = 4,016,770,884
  5. Step 5: Solve for x
    x = 4,016,770,884/42,312
  6. Step 6: Final answer
    x = 94,932.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.