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Finding the Third Proportional to 330,288 and 506,088

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Solution

The third proportional to 330,288 and 506,088 is: 775,459.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,288 : 506,088 = 506,088 : x
  2. Step 2: Convert to fraction form
    330,288/506,088 = 506,088/x
  3. Step 3: Cross multiply
    330,288x = 506,088 × 506,088
  4. Step 4: Simplify right side
    330,288x = 256,125,063,744
  5. Step 5: Solve for x
    x = 256,125,063,744/330,288
  6. Step 6: Final answer
    x = 775,459.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.