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Finding the Third Proportional to 31,140 and 48,942

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Solution

The third proportional to 31,140 and 48,942 is: 76,920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,140 : 48,942 = 48,942 : x
  2. Step 2: Convert to fraction form
    31,140/48,942 = 48,942/x
  3. Step 3: Cross multiply
    31,140x = 48,942 × 48,942
  4. Step 4: Simplify right side
    31,140x = 2,395,319,364
  5. Step 5: Solve for x
    x = 2,395,319,364/31,140
  6. Step 6: Final answer
    x = 76,920.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.