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Finding the Third Proportional to 141,314 and 310,276

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Solution

The third proportional to 141,314 and 310,276 is: 681,257.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,314 : 310,276 = 310,276 : x
  2. Step 2: Convert to fraction form
    141,314/310,276 = 310,276/x
  3. Step 3: Cross multiply
    141,314x = 310,276 × 310,276
  4. Step 4: Simplify right side
    141,314x = 96,271,196,176
  5. Step 5: Solve for x
    x = 96,271,196,176/141,314
  6. Step 6: Final answer
    x = 681,257.31

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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.