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Finding the Third Proportional to 288,388 and 385,762

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Solution

The third proportional to 288,388 and 385,762 is: 516,014.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,388 : 385,762 = 385,762 : x
  2. Step 2: Convert to fraction form
    288,388/385,762 = 385,762/x
  3. Step 3: Cross multiply
    288,388x = 385,762 × 385,762
  4. Step 4: Simplify right side
    288,388x = 148,812,320,644
  5. Step 5: Solve for x
    x = 148,812,320,644/288,388
  6. Step 6: Final answer
    x = 516,014.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.