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Finding the Third Proportional to 56,000 and 80,688

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Solution

The third proportional to 56,000 and 80,688 is: 116,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,000 : 80,688 = 80,688 : x
  2. Step 2: Convert to fraction form
    56,000/80,688 = 80,688/x
  3. Step 3: Cross multiply
    56,000x = 80,688 × 80,688
  4. Step 4: Simplify right side
    56,000x = 6,510,553,344
  5. Step 5: Solve for x
    x = 6,510,553,344/56,000
  6. Step 6: Final answer
    x = 116,259.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.