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Finding the Third Proportional to 261,826.25 and 409,587.50

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Solution

The third proportional to 261,826.25 and 409,587.50 is: 640,737.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,826.25 : 409,587.50 = 409,587.50 : x
  2. Step 2: Convert to fraction form
    261,826.25/409,587.50 = 409,587.50/x
  3. Step 3: Cross multiply
    261,826.25x = 409,587.50 × 409,587.50
  4. Step 4: Simplify right side
    261,826.25x = 167,761,920,156.25
  5. Step 5: Solve for x
    x = 167,761,920,156.25/261,826.25
  6. Step 6: Final answer
    x = 640,737.59

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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.