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Finding the Third Proportional to 561,322 and 1,230,279

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Solution

The third proportional to 561,322 and 1,230,279 is: 2,696,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,322 : 1,230,279 = 1,230,279 : x
  2. Step 2: Convert to fraction form
    561,322/1,230,279 = 1,230,279/x
  3. Step 3: Cross multiply
    561,322x = 1,230,279 × 1,230,279
  4. Step 4: Simplify right side
    561,322x = 1,513,586,417,841
  5. Step 5: Solve for x
    x = 1,513,586,417,841/561,322
  6. Step 6: Final answer
    x = 2,696,467.30

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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.