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Finding the Third Proportional to 42,717 and 93,480

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Solution

The third proportional to 42,717 and 93,480 is: 204,567.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,717 : 93,480 = 93,480 : x
  2. Step 2: Convert to fraction form
    42,717/93,480 = 93,480/x
  3. Step 3: Cross multiply
    42,717x = 93,480 × 93,480
  4. Step 4: Simplify right side
    42,717x = 8,738,510,400
  5. Step 5: Solve for x
    x = 8,738,510,400/42,717
  6. Step 6: Final answer
    x = 204,567.51

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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.