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Finding the Third Proportional to 141,938 and 310,443

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Solution

The third proportional to 141,938 and 310,443 is: 678,992.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,938 : 310,443 = 310,443 : x
  2. Step 2: Convert to fraction form
    141,938/310,443 = 310,443/x
  3. Step 3: Cross multiply
    141,938x = 310,443 × 310,443
  4. Step 4: Simplify right side
    141,938x = 96,374,856,249
  5. Step 5: Solve for x
    x = 96,374,856,249/141,938
  6. Step 6: Final answer
    x = 678,992.63

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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.