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Finding the Third Proportional to 576,156 and 872,190

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Solution

The third proportional to 576,156 and 872,190 is: 1,320,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,156 : 872,190 = 872,190 : x
  2. Step 2: Convert to fraction form
    576,156/872,190 = 872,190/x
  3. Step 3: Cross multiply
    576,156x = 872,190 × 872,190
  4. Step 4: Simplify right side
    576,156x = 760,715,396,100
  5. Step 5: Solve for x
    x = 760,715,396,100/576,156
  6. Step 6: Final answer
    x = 1,320,328.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.