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Finding the Third Proportional to 290,528 and 394,288

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Solution

The third proportional to 290,528 and 394,288 is: 535,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,528 : 394,288 = 394,288 : x
  2. Step 2: Convert to fraction form
    290,528/394,288 = 394,288/x
  3. Step 3: Cross multiply
    290,528x = 394,288 × 394,288
  4. Step 4: Simplify right side
    290,528x = 155,463,026,944
  5. Step 5: Solve for x
    x = 155,463,026,944/290,528
  6. Step 6: Final answer
    x = 535,105.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.