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Finding the Third Proportional to 330,290 and 506,091

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Solution

The third proportional to 330,290 and 506,091 is: 775,464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,290 : 506,091 = 506,091 : x
  2. Step 2: Convert to fraction form
    330,290/506,091 = 506,091/x
  3. Step 3: Cross multiply
    330,290x = 506,091 × 506,091
  4. Step 4: Simplify right side
    330,290x = 256,128,100,281
  5. Step 5: Solve for x
    x = 256,128,100,281/330,290
  6. Step 6: Final answer
    x = 775,464.29

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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.