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Finding the Third Proportional to 388,918 and 583,384

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Solution

The third proportional to 388,918 and 583,384 is: 875,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,918 : 583,384 = 583,384 : x
  2. Step 2: Convert to fraction form
    388,918/583,384 = 583,384/x
  3. Step 3: Cross multiply
    388,918x = 583,384 × 583,384
  4. Step 4: Simplify right side
    388,918x = 340,336,891,456
  5. Step 5: Solve for x
    x = 340,336,891,456/388,918
  6. Step 6: Final answer
    x = 875,086.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.