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Finding the Third Proportional to 286,524 and 387,747

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Solution

The third proportional to 286,524 and 387,747 is: 524,729.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,524 : 387,747 = 387,747 : x
  2. Step 2: Convert to fraction form
    286,524/387,747 = 387,747/x
  3. Step 3: Cross multiply
    286,524x = 387,747 × 387,747
  4. Step 4: Simplify right side
    286,524x = 150,347,736,009
  5. Step 5: Solve for x
    x = 150,347,736,009/286,524
  6. Step 6: Final answer
    x = 524,729.99

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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.