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Finding the Third Proportional to 143,474.63 and 314,220.94

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Solution

The third proportional to 143,474.63 and 314,220.94 is: 688,169.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,474.63 : 314,220.94 = 314,220.94 : x
  2. Step 2: Convert to fraction form
    143,474.63/314,220.94 = 314,220.94/x
  3. Step 3: Cross multiply
    143,474.63x = 314,220.94 × 314,220.94
  4. Step 4: Simplify right side
    143,474.63x = 98,734,797,563.38
  5. Step 5: Solve for x
    x = 98,734,797,563.38/143,474.63
  6. Step 6: Final answer
    x = 688,169.06

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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.