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Finding the Third Proportional to 141,850 and 209,971

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Solution

The third proportional to 141,850 and 209,971 is: 310,805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,850 : 209,971 = 209,971 : x
  2. Step 2: Convert to fraction form
    141,850/209,971 = 209,971/x
  3. Step 3: Cross multiply
    141,850x = 209,971 × 209,971
  4. Step 4: Simplify right side
    141,850x = 44,087,820,841
  5. Step 5: Solve for x
    x = 44,087,820,841/141,850
  6. Step 6: Final answer
    x = 310,805.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.