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Finding the Third Proportional to 42,112 and 93,566

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Solution

The third proportional to 42,112 and 93,566 is: 207,888.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,112 : 93,566 = 93,566 : x
  2. Step 2: Convert to fraction form
    42,112/93,566 = 93,566/x
  3. Step 3: Cross multiply
    42,112x = 93,566 × 93,566
  4. Step 4: Simplify right side
    42,112x = 8,754,596,356
  5. Step 5: Solve for x
    x = 8,754,596,356/42,112
  6. Step 6: Final answer
    x = 207,888.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.