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Finding the Third Proportional to 587,869 and 859,120

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Solution

The third proportional to 587,869 and 859,120 is: 1,255,530.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,869 : 859,120 = 859,120 : x
  2. Step 2: Convert to fraction form
    587,869/859,120 = 859,120/x
  3. Step 3: Cross multiply
    587,869x = 859,120 × 859,120
  4. Step 4: Simplify right side
    587,869x = 738,087,174,400
  5. Step 5: Solve for x
    x = 738,087,174,400/587,869
  6. Step 6: Final answer
    x = 1,255,530.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.