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Finding the Third Proportional to 85,504 and 129,776

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Solution

The third proportional to 85,504 and 129,776 is: 196,971.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,504 : 129,776 = 129,776 : x
  2. Step 2: Convert to fraction form
    85,504/129,776 = 129,776/x
  3. Step 3: Cross multiply
    85,504x = 129,776 × 129,776
  4. Step 4: Simplify right side
    85,504x = 16,841,810,176
  5. Step 5: Solve for x
    x = 16,841,810,176/85,504
  6. Step 6: Final answer
    x = 196,971.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.