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Finding the Third Proportional to 286,535 and 387,759

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Solution

The third proportional to 286,535 and 387,759 is: 524,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,535 : 387,759 = 387,759 : x
  2. Step 2: Convert to fraction form
    286,535/387,759 = 387,759/x
  3. Step 3: Cross multiply
    286,535x = 387,759 × 387,759
  4. Step 4: Simplify right side
    286,535x = 150,357,042,081
  5. Step 5: Solve for x
    x = 150,357,042,081/286,535
  6. Step 6: Final answer
    x = 524,742.32

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.