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Finding the Third Proportional to 216,685.13 and 287,590.50

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Solution

The third proportional to 216,685.13 and 287,590.50 is: 381,698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,685.13 : 287,590.50 = 287,590.50 : x
  2. Step 2: Convert to fraction form
    216,685.13/287,590.50 = 287,590.50/x
  3. Step 3: Cross multiply
    216,685.13x = 287,590.50 × 287,590.50
  4. Step 4: Simplify right side
    216,685.13x = 82,708,295,690.25
  5. Step 5: Solve for x
    x = 82,708,295,690.25/216,685.13
  6. Step 6: Final answer
    x = 381,698.08

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.