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Finding the Third Proportional to 291,506 and 627,724

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Solution

The third proportional to 291,506 and 627,724 is: 1,351,730.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,506 : 627,724 = 627,724 : x
  2. Step 2: Convert to fraction form
    291,506/627,724 = 627,724/x
  3. Step 3: Cross multiply
    291,506x = 627,724 × 627,724
  4. Step 4: Simplify right side
    291,506x = 394,037,420,176
  5. Step 5: Solve for x
    x = 394,037,420,176/291,506
  6. Step 6: Final answer
    x = 1,351,730.05

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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.