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Finding the Third Proportional to 211,982.70 and 287,856.91

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Solution

The third proportional to 211,982.70 and 287,856.91 is: 390,888.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,982.70 : 287,856.91 = 287,856.91 : x
  2. Step 2: Convert to fraction form
    211,982.70/287,856.91 = 287,856.91/x
  3. Step 3: Cross multiply
    211,982.70x = 287,856.91 × 287,856.91
  4. Step 4: Simplify right side
    211,982.70x = 82,861,602,973.59
  5. Step 5: Solve for x
    x = 82,861,602,973.59/211,982.70
  6. Step 6: Final answer
    x = 390,888.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.