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Finding the Third Proportional to 290,800 and 627,560

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Solution

The third proportional to 290,800 and 627,560 is: 1,354,303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,800 : 627,560 = 627,560 : x
  2. Step 2: Convert to fraction form
    290,800/627,560 = 627,560/x
  3. Step 3: Cross multiply
    290,800x = 627,560 × 627,560
  4. Step 4: Simplify right side
    290,800x = 393,831,553,600
  5. Step 5: Solve for x
    x = 393,831,553,600/290,800
  6. Step 6: Final answer
    x = 1,354,303.83

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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.