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Finding the Third Proportional to 561,627 and 1,211,820

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Solution

The third proportional to 561,627 and 1,211,820 is: 2,614,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,627 : 1,211,820 = 1,211,820 : x
  2. Step 2: Convert to fraction form
    561,627/1,211,820 = 1,211,820/x
  3. Step 3: Cross multiply
    561,627x = 1,211,820 × 1,211,820
  4. Step 4: Simplify right side
    561,627x = 1,468,507,712,400
  5. Step 5: Solve for x
    x = 1,468,507,712,400/561,627
  6. Step 6: Final answer
    x = 2,614,738.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.