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Finding the Third Proportional to 291,587 and 627,894

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Solution

The third proportional to 291,587 and 627,894 is: 1,352,086.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,587 : 627,894 = 627,894 : x
  2. Step 2: Convert to fraction form
    291,587/627,894 = 627,894/x
  3. Step 3: Cross multiply
    291,587x = 627,894 × 627,894
  4. Step 4: Simplify right side
    291,587x = 394,250,875,236
  5. Step 5: Solve for x
    x = 394,250,875,236/291,587
  6. Step 6: Final answer
    x = 1,352,086.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.