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Finding the Third Proportional to 619,146 and 855,520.13

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Solution

The third proportional to 619,146 and 855,520.13 is: 1,182,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,146 : 855,520.13 = 855,520.13 : x
  2. Step 2: Convert to fraction form
    619,146/855,520.13 = 855,520.13/x
  3. Step 3: Cross multiply
    619,146x = 855,520.13 × 855,520.13
  4. Step 4: Simplify right side
    619,146x = 731,914,684,280.02
  5. Step 5: Solve for x
    x = 731,914,684,280.02/619,146
  6. Step 6: Final answer
    x = 1,182,135.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.