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Finding the Third Proportional to 143,543 and 314,302

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Solution

The third proportional to 143,543 and 314,302 is: 688,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,543 : 314,302 = 314,302 : x
  2. Step 2: Convert to fraction form
    143,543/314,302 = 314,302/x
  3. Step 3: Cross multiply
    143,543x = 314,302 × 314,302
  4. Step 4: Simplify right side
    143,543x = 98,785,747,204
  5. Step 5: Solve for x
    x = 98,785,747,204/143,543
  6. Step 6: Final answer
    x = 688,196.20

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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.