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Finding the Third Proportional to 291,438 and 627,588

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Solution

The third proportional to 291,438 and 627,588 is: 1,351,459.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,438 : 627,588 = 627,588 : x
  2. Step 2: Convert to fraction form
    291,438/627,588 = 627,588/x
  3. Step 3: Cross multiply
    291,438x = 627,588 × 627,588
  4. Step 4: Simplify right side
    291,438x = 393,866,697,744
  5. Step 5: Solve for x
    x = 393,866,697,744/291,438
  6. Step 6: Final answer
    x = 1,351,459.65

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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.