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Finding the Third Proportional to 315,855 and 690,759

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Solution

The third proportional to 315,855 and 690,759 is: 1,510,655.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,855 : 690,759 = 690,759 : x
  2. Step 2: Convert to fraction form
    315,855/690,759 = 690,759/x
  3. Step 3: Cross multiply
    315,855x = 690,759 × 690,759
  4. Step 4: Simplify right side
    315,855x = 477,147,996,081
  5. Step 5: Solve for x
    x = 477,147,996,081/315,855
  6. Step 6: Final answer
    x = 1,510,655.19

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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.