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Finding the Third Proportional to 561,800 and 1,228,702

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Solution

The third proportional to 561,800 and 1,228,702 is: 2,687,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,800 : 1,228,702 = 1,228,702 : x
  2. Step 2: Convert to fraction form
    561,800/1,228,702 = 1,228,702/x
  3. Step 3: Cross multiply
    561,800x = 1,228,702 × 1,228,702
  4. Step 4: Simplify right side
    561,800x = 1,509,708,604,804
  5. Step 5: Solve for x
    x = 1,509,708,604,804/561,800
  6. Step 6: Final answer
    x = 2,687,270.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.