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Finding the Third Proportional to 49,680 and 79,776

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Solution

The third proportional to 49,680 and 79,776 is: 128,104.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,680 : 79,776 = 79,776 : x
  2. Step 2: Convert to fraction form
    49,680/79,776 = 79,776/x
  3. Step 3: Cross multiply
    49,680x = 79,776 × 79,776
  4. Step 4: Simplify right side
    49,680x = 6,364,210,176
  5. Step 5: Solve for x
    x = 6,364,210,176/49,680
  6. Step 6: Final answer
    x = 128,104.07

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.