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Finding the Third Proportional to 387,040 and 586,392

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Solution

The third proportional to 387,040 and 586,392 is: 888,423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,040 : 586,392 = 586,392 : x
  2. Step 2: Convert to fraction form
    387,040/586,392 = 586,392/x
  3. Step 3: Cross multiply
    387,040x = 586,392 × 586,392
  4. Step 4: Simplify right side
    387,040x = 343,855,577,664
  5. Step 5: Solve for x
    x = 343,855,577,664/387,040
  6. Step 6: Final answer
    x = 888,423.88

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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.