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Finding the Third Proportional to 197,429.91 and 288,740.95

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Solution

The third proportional to 197,429.91 and 288,740.95 is: 422,283.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,429.91 : 288,740.95 = 288,740.95 : x
  2. Step 2: Convert to fraction form
    197,429.91/288,740.95 = 288,740.95/x
  3. Step 3: Cross multiply
    197,429.91x = 288,740.95 × 288,740.95
  4. Step 4: Simplify right side
    197,429.91x = 83,371,338,011.53
  5. Step 5: Solve for x
    x = 83,371,338,011.53/197,429.91
  6. Step 6: Final answer
    x = 422,283.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.