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Finding the Third Proportional to 30,732 and 48,239

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Solution

The third proportional to 30,732 and 48,239 is: 75,719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,732 : 48,239 = 48,239 : x
  2. Step 2: Convert to fraction form
    30,732/48,239 = 48,239/x
  3. Step 3: Cross multiply
    30,732x = 48,239 × 48,239
  4. Step 4: Simplify right side
    30,732x = 2,327,001,121
  5. Step 5: Solve for x
    x = 2,327,001,121/30,732
  6. Step 6: Final answer
    x = 75,719.16

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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.