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Finding the Third Proportional to 288,088 and 382,282

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Solution

The third proportional to 288,088 and 382,282 is: 507,273.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,088 : 382,282 = 382,282 : x
  2. Step 2: Convert to fraction form
    288,088/382,282 = 382,282/x
  3. Step 3: Cross multiply
    288,088x = 382,282 × 382,282
  4. Step 4: Simplify right side
    288,088x = 146,139,527,524
  5. Step 5: Solve for x
    x = 146,139,527,524/288,088
  6. Step 6: Final answer
    x = 507,273.91

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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.