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Finding the Third Proportional to 330,591 and 510,952.50

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Solution

The third proportional to 330,591 and 510,952.50 is: 789,714.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,591 : 510,952.50 = 510,952.50 : x
  2. Step 2: Convert to fraction form
    330,591/510,952.50 = 510,952.50/x
  3. Step 3: Cross multiply
    330,591x = 510,952.50 × 510,952.50
  4. Step 4: Simplify right side
    330,591x = 261,072,457,256.25
  5. Step 5: Solve for x
    x = 261,072,457,256.25/330,591
  6. Step 6: Final answer
    x = 789,714.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.