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Finding the Third Proportional to 131,749 and 292,971

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Solution

The third proportional to 131,749 and 292,971 is: 651,481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,749 : 292,971 = 292,971 : x
  2. Step 2: Convert to fraction form
    131,749/292,971 = 292,971/x
  3. Step 3: Cross multiply
    131,749x = 292,971 × 292,971
  4. Step 4: Simplify right side
    131,749x = 85,832,006,841
  5. Step 5: Solve for x
    x = 85,832,006,841/131,749
  6. Step 6: Final answer
    x = 651,481.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.