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Finding the Third Proportional to 31,590 and 48,915

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Solution

The third proportional to 31,590 and 48,915 is: 75,741.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,590 : 48,915 = 48,915 : x
  2. Step 2: Convert to fraction form
    31,590/48,915 = 48,915/x
  3. Step 3: Cross multiply
    31,590x = 48,915 × 48,915
  4. Step 4: Simplify right side
    31,590x = 2,392,677,225
  5. Step 5: Solve for x
    x = 2,392,677,225/31,590
  6. Step 6: Final answer
    x = 75,741.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.