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Finding the Third Proportional to 659 and 1,780.50

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Solution

The third proportional to 659 and 1,780.50 is: 4,810.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    659 : 1,780.50 = 1,780.50 : x
  2. Step 2: Convert to fraction form
    659/1,780.50 = 1,780.50/x
  3. Step 3: Cross multiply
    659x = 1,780.50 × 1,780.50
  4. Step 4: Simplify right side
    659x = 3,170,180.25
  5. Step 5: Solve for x
    x = 3,170,180.25/659
  6. Step 6: Final answer
    x = 4,810.59

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.