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Finding the Third Proportional to 42,577 and 92,538

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Solution

The third proportional to 42,577 and 92,538 is: 201,124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,577 : 92,538 = 92,538 : x
  2. Step 2: Convert to fraction form
    42,577/92,538 = 92,538/x
  3. Step 3: Cross multiply
    42,577x = 92,538 × 92,538
  4. Step 4: Simplify right side
    42,577x = 8,563,281,444
  5. Step 5: Solve for x
    x = 8,563,281,444/42,577
  6. Step 6: Final answer
    x = 201,124.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.