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Finding the Third Proportional to 197,730 and 306,424

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Solution

The third proportional to 197,730 and 306,424 is: 474,868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,730 : 306,424 = 306,424 : x
  2. Step 2: Convert to fraction form
    197,730/306,424 = 306,424/x
  3. Step 3: Cross multiply
    197,730x = 306,424 × 306,424
  4. Step 4: Simplify right side
    197,730x = 93,895,667,776
  5. Step 5: Solve for x
    x = 93,895,667,776/197,730
  6. Step 6: Final answer
    x = 474,868.09

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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.