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Finding the Third Proportional to 810,126 and 1,744,902

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Solution

The third proportional to 810,126 and 1,744,902 is: 3,758,283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,126 : 1,744,902 = 1,744,902 : x
  2. Step 2: Convert to fraction form
    810,126/1,744,902 = 1,744,902/x
  3. Step 3: Cross multiply
    810,126x = 1,744,902 × 1,744,902
  4. Step 4: Simplify right side
    810,126x = 3,044,682,989,604
  5. Step 5: Solve for x
    x = 3,044,682,989,604/810,126
  6. Step 6: Final answer
    x = 3,758,283.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.