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Finding the Third Proportional to 42,040 and 92,270

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Solution

The third proportional to 42,040 and 92,270 is: 202,515.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,040 : 92,270 = 92,270 : x
  2. Step 2: Convert to fraction form
    42,040/92,270 = 92,270/x
  3. Step 3: Cross multiply
    42,040x = 92,270 × 92,270
  4. Step 4: Simplify right side
    42,040x = 8,513,752,900
  5. Step 5: Solve for x
    x = 8,513,752,900/42,040
  6. Step 6: Final answer
    x = 202,515.53

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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.