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Finding the Third Proportional to 85,457 and 187,029

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Solution

The third proportional to 85,457 and 187,029 is: 409,326.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,457 : 187,029 = 187,029 : x
  2. Step 2: Convert to fraction form
    85,457/187,029 = 187,029/x
  3. Step 3: Cross multiply
    85,457x = 187,029 × 187,029
  4. Step 4: Simplify right side
    85,457x = 34,979,846,841
  5. Step 5: Solve for x
    x = 34,979,846,841/85,457
  6. Step 6: Final answer
    x = 409,326.88

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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.