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Finding the Third Proportional to 858,279 and 1,261,143

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Solution

The third proportional to 858,279 and 1,261,143 is: 1,853,105.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,279 : 1,261,143 = 1,261,143 : x
  2. Step 2: Convert to fraction form
    858,279/1,261,143 = 1,261,143/x
  3. Step 3: Cross multiply
    858,279x = 1,261,143 × 1,261,143
  4. Step 4: Simplify right side
    858,279x = 1,590,481,666,449
  5. Step 5: Solve for x
    x = 1,590,481,666,449/858,279
  6. Step 6: Final answer
    x = 1,853,105.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.