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Finding the Third Proportional to 143,602.88 and 313,961.06

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Solution

The third proportional to 143,602.88 and 313,961.06 is: 686,417.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,602.88 : 313,961.06 = 313,961.06 : x
  2. Step 2: Convert to fraction form
    143,602.88/313,961.06 = 313,961.06/x
  3. Step 3: Cross multiply
    143,602.88x = 313,961.06 × 313,961.06
  4. Step 4: Simplify right side
    143,602.88x = 98,571,548,766.13
  5. Step 5: Solve for x
    x = 98,571,548,766.13/143,602.88
  6. Step 6: Final answer
    x = 686,417.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.