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Finding the Third Proportional to 30,709 and 48,831

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Solution

The third proportional to 30,709 and 48,831 is: 77,647.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709 : 48,831 = 48,831 : x
  2. Step 2: Convert to fraction form
    30,709/48,831 = 48,831/x
  3. Step 3: Cross multiply
    30,709x = 48,831 × 48,831
  4. Step 4: Simplify right side
    30,709x = 2,384,466,561
  5. Step 5: Solve for x
    x = 2,384,466,561/30,709
  6. Step 6: Final answer
    x = 77,647.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.