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Finding the Third Proportional to 143,985.94 and 314,217.56

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Solution

The third proportional to 143,985.94 and 314,217.56 is: 685,710.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,985.94 : 314,217.56 = 314,217.56 : x
  2. Step 2: Convert to fraction form
    143,985.94/314,217.56 = 314,217.56/x
  3. Step 3: Cross multiply
    143,985.94x = 314,217.56 × 314,217.56
  4. Step 4: Simplify right side
    143,985.94x = 98,732,676,583.44
  5. Step 5: Solve for x
    x = 98,732,676,583.44/143,985.94
  6. Step 6: Final answer
    x = 685,710.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.