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Finding the Third Proportional to 288,390 and 385,765

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Solution

The third proportional to 288,390 and 385,765 is: 516,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,390 : 385,765 = 385,765 : x
  2. Step 2: Convert to fraction form
    288,390/385,765 = 385,765/x
  3. Step 3: Cross multiply
    288,390x = 385,765 × 385,765
  4. Step 4: Simplify right side
    288,390x = 148,814,635,225
  5. Step 5: Solve for x
    x = 148,814,635,225/288,390
  6. Step 6: Final answer
    x = 516,018.71

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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.