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Finding the Third Proportional to 144,625.50 and 314,127.28

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Solution

The third proportional to 144,625.50 and 314,127.28 is: 682,285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,625.50 : 314,127.28 = 314,127.28 : x
  2. Step 2: Convert to fraction form
    144,625.50/314,127.28 = 314,127.28/x
  3. Step 3: Cross multiply
    144,625.50x = 314,127.28 × 314,127.28
  4. Step 4: Simplify right side
    144,625.50x = 98,675,948,825.52
  5. Step 5: Solve for x
    x = 98,675,948,825.52/144,625.50
  6. Step 6: Final answer
    x = 682,285.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.