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Finding the Third Proportional to 40,730 and 84,860

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Solution

The third proportional to 40,730 and 84,860 is: 176,803.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,730 : 84,860 = 84,860 : x
  2. Step 2: Convert to fraction form
    40,730/84,860 = 84,860/x
  3. Step 3: Cross multiply
    40,730x = 84,860 × 84,860
  4. Step 4: Simplify right side
    40,730x = 7,201,219,600
  5. Step 5: Solve for x
    x = 7,201,219,600/40,730
  6. Step 6: Final answer
    x = 176,803.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.