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Finding the Third Proportional to 625,821.75 and 1,284,820.50

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Solution

The third proportional to 625,821.75 and 1,284,820.50 is: 2,637,753.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,821.75 : 1,284,820.50 = 1,284,820.50 : x
  2. Step 2: Convert to fraction form
    625,821.75/1,284,820.50 = 1,284,820.50/x
  3. Step 3: Cross multiply
    625,821.75x = 1,284,820.50 × 1,284,820.50
  4. Step 4: Simplify right side
    625,821.75x = 1,650,763,717,220.25
  5. Step 5: Solve for x
    x = 1,650,763,717,220.25/625,821.75
  6. Step 6: Final answer
    x = 2,637,753.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.