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Finding the Third Proportional to 132,730 and 205,515

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Solution

The third proportional to 132,730 and 205,515 is: 318,213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,730 : 205,515 = 205,515 : x
  2. Step 2: Convert to fraction form
    132,730/205,515 = 205,515/x
  3. Step 3: Cross multiply
    132,730x = 205,515 × 205,515
  4. Step 4: Simplify right side
    132,730x = 42,236,415,225
  5. Step 5: Solve for x
    x = 42,236,415,225/132,730
  6. Step 6: Final answer
    x = 318,213.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.