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Finding the Third Proportional to 126,730 and 197,103

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Solution

The third proportional to 126,730 and 197,103 is: 306,554.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,730 : 197,103 = 197,103 : x
  2. Step 2: Convert to fraction form
    126,730/197,103 = 197,103/x
  3. Step 3: Cross multiply
    126,730x = 197,103 × 197,103
  4. Step 4: Simplify right side
    126,730x = 38,849,592,609
  5. Step 5: Solve for x
    x = 38,849,592,609/126,730
  6. Step 6: Final answer
    x = 306,554.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.