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Finding the Third Proportional to 578,409 and 1,253,349

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Solution

The third proportional to 578,409 and 1,253,349 is: 2,715,870.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,409 : 1,253,349 = 1,253,349 : x
  2. Step 2: Convert to fraction form
    578,409/1,253,349 = 1,253,349/x
  3. Step 3: Cross multiply
    578,409x = 1,253,349 × 1,253,349
  4. Step 4: Simplify right side
    578,409x = 1,570,883,715,801
  5. Step 5: Solve for x
    x = 1,570,883,715,801/578,409
  6. Step 6: Final answer
    x = 2,715,870.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.