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Finding the Third Proportional to 265,440 and 411,012

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Solution

The third proportional to 265,440 and 411,012 is: 636,418.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,440 : 411,012 = 411,012 : x
  2. Step 2: Convert to fraction form
    265,440/411,012 = 411,012/x
  3. Step 3: Cross multiply
    265,440x = 411,012 × 411,012
  4. Step 4: Simplify right side
    265,440x = 168,930,864,144
  5. Step 5: Solve for x
    x = 168,930,864,144/265,440
  6. Step 6: Final answer
    x = 636,418.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.