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Finding the Third Proportional to 197,734 and 306,429

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Solution

The third proportional to 197,734 and 306,429 is: 474,873.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,734 : 306,429 = 306,429 : x
  2. Step 2: Convert to fraction form
    197,734/306,429 = 306,429/x
  3. Step 3: Cross multiply
    197,734x = 306,429 × 306,429
  4. Step 4: Simplify right side
    197,734x = 93,898,732,041
  5. Step 5: Solve for x
    x = 93,898,732,041/197,734
  6. Step 6: Final answer
    x = 474,873.98

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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.