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Finding the Third Proportional to 330,053.50 and 495,809.50

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Solution

The third proportional to 330,053.50 and 495,809.50 is: 744,809.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,053.50 : 495,809.50 = 495,809.50 : x
  2. Step 2: Convert to fraction form
    330,053.50/495,809.50 = 495,809.50/x
  3. Step 3: Cross multiply
    330,053.50x = 495,809.50 × 495,809.50
  4. Step 4: Simplify right side
    330,053.50x = 245,827,060,290.25
  5. Step 5: Solve for x
    x = 245,827,060,290.25/330,053.50
  6. Step 6: Final answer
    x = 744,809.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.