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Finding the Third Proportional to 320,486 and 498,210

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Solution

The third proportional to 320,486 and 498,210 is: 774,490.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,486 : 498,210 = 498,210 : x
  2. Step 2: Convert to fraction form
    320,486/498,210 = 498,210/x
  3. Step 3: Cross multiply
    320,486x = 498,210 × 498,210
  4. Step 4: Simplify right side
    320,486x = 248,213,204,100
  5. Step 5: Solve for x
    x = 248,213,204,100/320,486
  6. Step 6: Final answer
    x = 774,490.01

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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.