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Finding the Third Proportional to 330,380 and 502,490

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Solution

The third proportional to 330,380 and 502,490 is: 764,259.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,380 : 502,490 = 502,490 : x
  2. Step 2: Convert to fraction form
    330,380/502,490 = 502,490/x
  3. Step 3: Cross multiply
    330,380x = 502,490 × 502,490
  4. Step 4: Simplify right side
    330,380x = 252,496,200,100
  5. Step 5: Solve for x
    x = 252,496,200,100/330,380
  6. Step 6: Final answer
    x = 764,259.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.