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Finding the Third Proportional to 291,422.81 and 627,132.09

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Solution

The third proportional to 291,422.81 and 627,132.09 is: 1,349,567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,422.81 : 627,132.09 = 627,132.09 : x
  2. Step 2: Convert to fraction form
    291,422.81/627,132.09 = 627,132.09/x
  3. Step 3: Cross multiply
    291,422.81x = 627,132.09 × 627,132.09
  4. Step 4: Simplify right side
    291,422.81x = 393,294,663,011.26
  5. Step 5: Solve for x
    x = 393,294,663,011.26/291,422.81
  6. Step 6: Final answer
    x = 1,349,567.18

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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.