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Finding the Third Proportional to 62,410 and 100,538

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Solution

The third proportional to 62,410 and 100,538 is: 161,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,410 : 100,538 = 100,538 : x
  2. Step 2: Convert to fraction form
    62,410/100,538 = 100,538/x
  3. Step 3: Cross multiply
    62,410x = 100,538 × 100,538
  4. Step 4: Simplify right side
    62,410x = 10,107,889,444
  5. Step 5: Solve for x
    x = 10,107,889,444/62,410
  6. Step 6: Final answer
    x = 161,959.45

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.