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Finding the Third Proportional to 320,599 and 498,399

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Solution

The third proportional to 320,599 and 498,399 is: 774,804.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,599 : 498,399 = 498,399 : x
  2. Step 2: Convert to fraction form
    320,599/498,399 = 498,399/x
  3. Step 3: Cross multiply
    320,599x = 498,399 × 498,399
  4. Step 4: Simplify right side
    320,599x = 248,401,563,201
  5. Step 5: Solve for x
    x = 248,401,563,201/320,599
  6. Step 6: Final answer
    x = 774,804.55

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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.