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Finding the Third Proportional to 37,476 and 56,102

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Solution

The third proportional to 37,476 and 56,102 is: 83,985.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,476 : 56,102 = 56,102 : x
  2. Step 2: Convert to fraction form
    37,476/56,102 = 56,102/x
  3. Step 3: Cross multiply
    37,476x = 56,102 × 56,102
  4. Step 4: Simplify right side
    37,476x = 3,147,434,404
  5. Step 5: Solve for x
    x = 3,147,434,404/37,476
  6. Step 6: Final answer
    x = 83,985.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.