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Finding the Third Proportional to 103,140 and 164,115.75

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Solution

The third proportional to 103,140 and 164,115.75 is: 261,140.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,140 : 164,115.75 = 164,115.75 : x
  2. Step 2: Convert to fraction form
    103,140/164,115.75 = 164,115.75/x
  3. Step 3: Cross multiply
    103,140x = 164,115.75 × 164,115.75
  4. Step 4: Simplify right side
    103,140x = 26,933,979,398.06
  5. Step 5: Solve for x
    x = 26,933,979,398.06/103,140
  6. Step 6: Final answer
    x = 261,140.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.