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Finding the Third Proportional to 320,013 and 495,625.50

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Solution

The third proportional to 320,013 and 495,625.50 is: 767,608.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,013 : 495,625.50 = 495,625.50 : x
  2. Step 2: Convert to fraction form
    320,013/495,625.50 = 495,625.50/x
  3. Step 3: Cross multiply
    320,013x = 495,625.50 × 495,625.50
  4. Step 4: Simplify right side
    320,013x = 245,644,636,250.25
  5. Step 5: Solve for x
    x = 245,644,636,250.25/320,013
  6. Step 6: Final answer
    x = 767,608.30

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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.