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Finding the Third Proportional to 143,820.56 and 313,885.13

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Solution

The third proportional to 143,820.56 and 313,885.13 is: 685,047.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,820.56 : 313,885.13 = 313,885.13 : x
  2. Step 2: Convert to fraction form
    143,820.56/313,885.13 = 313,885.13/x
  3. Step 3: Cross multiply
    143,820.56x = 313,885.13 × 313,885.13
  4. Step 4: Simplify right side
    143,820.56x = 98,523,871,696.27
  5. Step 5: Solve for x
    x = 98,523,871,696.27/143,820.56
  6. Step 6: Final answer
    x = 685,047.19

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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.