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Finding the Third Proportional to 143,448 and 315,206

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Solution

The third proportional to 143,448 and 315,206 is: 692,619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,448 : 315,206 = 315,206 : x
  2. Step 2: Convert to fraction form
    143,448/315,206 = 315,206/x
  3. Step 3: Cross multiply
    143,448x = 315,206 × 315,206
  4. Step 4: Simplify right side
    143,448x = 99,354,822,436
  5. Step 5: Solve for x
    x = 99,354,822,436/143,448
  6. Step 6: Final answer
    x = 692,619.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.