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Finding the Third Proportional to 197,730 and 306,425

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Solution

The third proportional to 197,730 and 306,425 is: 474,871.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,730 : 306,425 = 306,425 : x
  2. Step 2: Convert to fraction form
    197,730/306,425 = 306,425/x
  3. Step 3: Cross multiply
    197,730x = 306,425 × 306,425
  4. Step 4: Simplify right side
    197,730x = 93,896,280,625
  5. Step 5: Solve for x
    x = 93,896,280,625/197,730
  6. Step 6: Final answer
    x = 474,871.19

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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.