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Finding the Third Proportional to 387,288 and 586,728

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Solution

The third proportional to 387,288 and 586,728 is: 888,872.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,288 : 586,728 = 586,728 : x
  2. Step 2: Convert to fraction form
    387,288/586,728 = 586,728/x
  3. Step 3: Cross multiply
    387,288x = 586,728 × 586,728
  4. Step 4: Simplify right side
    387,288x = 344,249,745,984
  5. Step 5: Solve for x
    x = 344,249,745,984/387,288
  6. Step 6: Final answer
    x = 888,872.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.