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Finding the Third Proportional to 290,808 and 627,442

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Solution

The third proportional to 290,808 and 627,442 is: 1,353,757.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,808 : 627,442 = 627,442 : x
  2. Step 2: Convert to fraction form
    290,808/627,442 = 627,442/x
  3. Step 3: Cross multiply
    290,808x = 627,442 × 627,442
  4. Step 4: Simplify right side
    290,808x = 393,683,463,364
  5. Step 5: Solve for x
    x = 393,683,463,364/290,808
  6. Step 6: Final answer
    x = 1,353,757.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.