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Finding the Third Proportional to 291,970 and 627,586

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Solution

The third proportional to 291,970 and 627,586 is: 1,348,988.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,970 : 627,586 = 627,586 : x
  2. Step 2: Convert to fraction form
    291,970/627,586 = 627,586/x
  3. Step 3: Cross multiply
    291,970x = 627,586 × 627,586
  4. Step 4: Simplify right side
    291,970x = 393,864,187,396
  5. Step 5: Solve for x
    x = 393,864,187,396/291,970
  6. Step 6: Final answer
    x = 1,348,988.55

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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.