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Finding the Third Proportional to 387,048 and 586,406

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Solution

The third proportional to 387,048 and 586,406 is: 888,447.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,048 : 586,406 = 586,406 : x
  2. Step 2: Convert to fraction form
    387,048/586,406 = 586,406/x
  3. Step 3: Cross multiply
    387,048x = 586,406 × 586,406
  4. Step 4: Simplify right side
    387,048x = 343,871,996,836
  5. Step 5: Solve for x
    x = 343,871,996,836/387,048
  6. Step 6: Final answer
    x = 888,447.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.