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Finding the Third Proportional to 311,963.16 and 671,212.59

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Solution

The third proportional to 311,963.16 and 671,212.59 is: 1,444,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,963.16 : 671,212.59 = 671,212.59 : x
  2. Step 2: Convert to fraction form
    311,963.16/671,212.59 = 671,212.59/x
  3. Step 3: Cross multiply
    311,963.16x = 671,212.59 × 671,212.59
  4. Step 4: Simplify right side
    311,963.16x = 450,526,346,008.60
  5. Step 5: Solve for x
    x = 450,526,346,008.60/311,963.16
  6. Step 6: Final answer
    x = 1,444,165.24

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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.