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Finding the Third Proportional to 42,154.50 and 63,510

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Solution

The third proportional to 42,154.50 and 63,510 is: 95,684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,154.50 : 63,510 = 63,510 : x
  2. Step 2: Convert to fraction form
    42,154.50/63,510 = 63,510/x
  3. Step 3: Cross multiply
    42,154.50x = 63,510 × 63,510
  4. Step 4: Simplify right side
    42,154.50x = 4,033,520,100
  5. Step 5: Solve for x
    x = 4,033,520,100/42,154.50
  6. Step 6: Final answer
    x = 95,684.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.