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Finding the Third Proportional to 288,012 and 382,179

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Solution

The third proportional to 288,012 and 382,179 is: 507,134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,012 : 382,179 = 382,179 : x
  2. Step 2: Convert to fraction form
    288,012/382,179 = 382,179/x
  3. Step 3: Cross multiply
    288,012x = 382,179 × 382,179
  4. Step 4: Simplify right side
    288,012x = 146,060,788,041
  5. Step 5: Solve for x
    x = 146,060,788,041/288,012
  6. Step 6: Final answer
    x = 507,134.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.