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Finding the Third Proportional to 587.86 and 780.08

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Solution

The third proportional to 587.86 and 780.08 is: 1,035.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.86 : 780.08 = 780.08 : x
  2. Step 2: Convert to fraction form
    587.86/780.08 = 780.08/x
  3. Step 3: Cross multiply
    587.86x = 780.08 × 780.08
  4. Step 4: Simplify right side
    587.86x = 608,524.55
  5. Step 5: Solve for x
    x = 608,524.55/587.86
  6. Step 6: Final answer
    x = 1,035.15

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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.