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Finding the Third Proportional to 320,452 and 471,942

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Solution

The third proportional to 320,452 and 471,942 is: 695,047.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,452 : 471,942 = 471,942 : x
  2. Step 2: Convert to fraction form
    320,452/471,942 = 471,942/x
  3. Step 3: Cross multiply
    320,452x = 471,942 × 471,942
  4. Step 4: Simplify right side
    320,452x = 222,729,251,364
  5. Step 5: Solve for x
    x = 222,729,251,364/320,452
  6. Step 6: Final answer
    x = 695,047.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.