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Finding the Third Proportional to 197,731 and 306,428

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Solution

The third proportional to 197,731 and 306,428 is: 474,878.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,731 : 306,428 = 306,428 : x
  2. Step 2: Convert to fraction form
    197,731/306,428 = 306,428/x
  3. Step 3: Cross multiply
    197,731x = 306,428 × 306,428
  4. Step 4: Simplify right side
    197,731x = 93,898,119,184
  5. Step 5: Solve for x
    x = 93,898,119,184/197,731
  6. Step 6: Final answer
    x = 474,878.09

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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.