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Finding the Third Proportional to 320,928 and 499,794

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Solution

The third proportional to 320,928 and 499,794 is: 778,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,928 : 499,794 = 499,794 : x
  2. Step 2: Convert to fraction form
    320,928/499,794 = 499,794/x
  3. Step 3: Cross multiply
    320,928x = 499,794 × 499,794
  4. Step 4: Simplify right side
    320,928x = 249,794,042,436
  5. Step 5: Solve for x
    x = 249,794,042,436/320,928
  6. Step 6: Final answer
    x = 778,349.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.