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Finding the Third Proportional to 105,729.75 and 161,943.75

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Solution

The third proportional to 105,729.75 and 161,943.75 is: 248,045.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,729.75 : 161,943.75 = 161,943.75 : x
  2. Step 2: Convert to fraction form
    105,729.75/161,943.75 = 161,943.75/x
  3. Step 3: Cross multiply
    105,729.75x = 161,943.75 × 161,943.75
  4. Step 4: Simplify right side
    105,729.75x = 26,225,778,164.06
  5. Step 5: Solve for x
    x = 26,225,778,164.06/105,729.75
  6. Step 6: Final answer
    x = 248,045.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.