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Finding the Third Proportional to 320,077.50 and 495,573.75

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Solution

The third proportional to 320,077.50 and 495,573.75 is: 767,293.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,077.50 : 495,573.75 = 495,573.75 : x
  2. Step 2: Convert to fraction form
    320,077.50/495,573.75 = 495,573.75/x
  3. Step 3: Cross multiply
    320,077.50x = 495,573.75 × 495,573.75
  4. Step 4: Simplify right side
    320,077.50x = 245,593,341,689.06
  5. Step 5: Solve for x
    x = 245,593,341,689.06/320,077.50
  6. Step 6: Final answer
    x = 767,293.36

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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.