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Finding the Third Proportional to 261,826 and 409,587

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Solution

The third proportional to 261,826 and 409,587 is: 640,736.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,826 : 409,587 = 409,587 : x
  2. Step 2: Convert to fraction form
    261,826/409,587 = 409,587/x
  3. Step 3: Cross multiply
    261,826x = 409,587 × 409,587
  4. Step 4: Simplify right side
    261,826x = 167,761,510,569
  5. Step 5: Solve for x
    x = 167,761,510,569/261,826
  6. Step 6: Final answer
    x = 640,736.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.