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Finding the Third Proportional to 161,167.50 and 230,802.75

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Solution

The third proportional to 161,167.50 and 230,802.75 is: 330,525.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,167.50 : 230,802.75 = 230,802.75 : x
  2. Step 2: Convert to fraction form
    161,167.50/230,802.75 = 230,802.75/x
  3. Step 3: Cross multiply
    161,167.50x = 230,802.75 × 230,802.75
  4. Step 4: Simplify right side
    161,167.50x = 53,269,909,407.56
  5. Step 5: Solve for x
    x = 53,269,909,407.56/161,167.50
  6. Step 6: Final answer
    x = 330,525.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.