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Finding the Third Proportional to 37,747 and 78,557

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Solution

The third proportional to 37,747 and 78,557 is: 163,488.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,747 : 78,557 = 78,557 : x
  2. Step 2: Convert to fraction form
    37,747/78,557 = 78,557/x
  3. Step 3: Cross multiply
    37,747x = 78,557 × 78,557
  4. Step 4: Simplify right side
    37,747x = 6,171,202,249
  5. Step 5: Solve for x
    x = 6,171,202,249/37,747
  6. Step 6: Final answer
    x = 163,488.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.