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Finding the Third Proportional to 141,210 and 310,317

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Solution

The third proportional to 141,210 and 310,317 is: 681,939.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,210 : 310,317 = 310,317 : x
  2. Step 2: Convert to fraction form
    141,210/310,317 = 310,317/x
  3. Step 3: Cross multiply
    141,210x = 310,317 × 310,317
  4. Step 4: Simplify right side
    141,210x = 96,296,640,489
  5. Step 5: Solve for x
    x = 96,296,640,489/141,210
  6. Step 6: Final answer
    x = 681,939.24

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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.