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Finding the Third Proportional to 78,820.50 and 172,971

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Solution

The third proportional to 78,820.50 and 172,971 is: 379,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,820.50 : 172,971 = 172,971 : x
  2. Step 2: Convert to fraction form
    78,820.50/172,971 = 172,971/x
  3. Step 3: Cross multiply
    78,820.50x = 172,971 × 172,971
  4. Step 4: Simplify right side
    78,820.50x = 29,918,966,841
  5. Step 5: Solve for x
    x = 29,918,966,841/78,820.50
  6. Step 6: Final answer
    x = 379,583.57

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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.