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Finding the Third Proportional to 388,596 and 617,902

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Solution

The third proportional to 388,596 and 617,902 is: 982,518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,596 : 617,902 = 617,902 : x
  2. Step 2: Convert to fraction form
    388,596/617,902 = 617,902/x
  3. Step 3: Cross multiply
    388,596x = 617,902 × 617,902
  4. Step 4: Simplify right side
    388,596x = 381,802,881,604
  5. Step 5: Solve for x
    x = 381,802,881,604/388,596
  6. Step 6: Final answer
    x = 982,518.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.