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Finding the Third Proportional to 137,717.50 and 291,971

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Solution

The third proportional to 137,717.50 and 291,971 is: 618,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,717.50 : 291,971 = 291,971 : x
  2. Step 2: Convert to fraction form
    137,717.50/291,971 = 291,971/x
  3. Step 3: Cross multiply
    137,717.50x = 291,971 × 291,971
  4. Step 4: Simplify right side
    137,717.50x = 85,247,064,841
  5. Step 5: Solve for x
    x = 85,247,064,841/137,717.50
  6. Step 6: Final answer
    x = 618,999.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.