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Finding the Third Proportional to 291,465 and 627,216.75

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Solution

The third proportional to 291,465 and 627,216.75 is: 1,349,736.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,465 : 627,216.75 = 627,216.75 : x
  2. Step 2: Convert to fraction form
    291,465/627,216.75 = 627,216.75/x
  3. Step 3: Cross multiply
    291,465x = 627,216.75 × 627,216.75
  4. Step 4: Simplify right side
    291,465x = 393,400,851,480.56
  5. Step 5: Solve for x
    x = 393,400,851,480.56/291,465
  6. Step 6: Final answer
    x = 1,349,736.17

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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.