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Finding the Third Proportional to 85,140 and 183,271.50

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Solution

The third proportional to 85,140 and 183,271.50 is: 394,508.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,140 : 183,271.50 = 183,271.50 : x
  2. Step 2: Convert to fraction form
    85,140/183,271.50 = 183,271.50/x
  3. Step 3: Cross multiply
    85,140x = 183,271.50 × 183,271.50
  4. Step 4: Simplify right side
    85,140x = 33,588,442,712.25
  5. Step 5: Solve for x
    x = 33,588,442,712.25/85,140
  6. Step 6: Final answer
    x = 394,508.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.