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Finding the Third Proportional to 320,078 and 495,575

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Solution

The third proportional to 320,078 and 495,575 is: 767,296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,078 : 495,575 = 495,575 : x
  2. Step 2: Convert to fraction form
    320,078/495,575 = 495,575/x
  3. Step 3: Cross multiply
    320,078x = 495,575 × 495,575
  4. Step 4: Simplify right side
    320,078x = 245,594,580,625
  5. Step 5: Solve for x
    x = 245,594,580,625/320,078
  6. Step 6: Final answer
    x = 767,296.04

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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.