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Finding the Third Proportional to 262,818 and 411,810

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Solution

The third proportional to 262,818 and 411,810 is: 645,265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,818 : 411,810 = 411,810 : x
  2. Step 2: Convert to fraction form
    262,818/411,810 = 411,810/x
  3. Step 3: Cross multiply
    262,818x = 411,810 × 411,810
  4. Step 4: Simplify right side
    262,818x = 169,587,476,100
  5. Step 5: Solve for x
    x = 169,587,476,100/262,818
  6. Step 6: Final answer
    x = 645,265.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.