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Finding the Third Proportional to 200,731.29 and 288,521.68

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Solution

The third proportional to 200,731.29 and 288,521.68 is: 414,707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,731.29 : 288,521.68 = 288,521.68 : x
  2. Step 2: Convert to fraction form
    200,731.29/288,521.68 = 288,521.68/x
  3. Step 3: Cross multiply
    200,731.29x = 288,521.68 × 288,521.68
  4. Step 4: Simplify right side
    200,731.29x = 83,244,761,903.77
  5. Step 5: Solve for x
    x = 83,244,761,903.77/200,731.29
  6. Step 6: Final answer
    x = 414,707.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.