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Finding the Third Proportional to 85,459.50 and 187,011

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Solution

The third proportional to 85,459.50 and 187,011 is: 409,236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,459.50 : 187,011 = 187,011 : x
  2. Step 2: Convert to fraction form
    85,459.50/187,011 = 187,011/x
  3. Step 3: Cross multiply
    85,459.50x = 187,011 × 187,011
  4. Step 4: Simplify right side
    85,459.50x = 34,973,114,121
  5. Step 5: Solve for x
    x = 34,973,114,121/85,459.50
  6. Step 6: Final answer
    x = 409,236.12

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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.