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Finding the Third Proportional to 93,132.50 and 201,147.25

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Solution

The third proportional to 93,132.50 and 201,147.25 is: 434,437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,132.50 : 201,147.25 = 201,147.25 : x
  2. Step 2: Convert to fraction form
    93,132.50/201,147.25 = 201,147.25/x
  3. Step 3: Cross multiply
    93,132.50x = 201,147.25 × 201,147.25
  4. Step 4: Simplify right side
    93,132.50x = 40,460,216,182.56
  5. Step 5: Solve for x
    x = 40,460,216,182.56/93,132.50
  6. Step 6: Final answer
    x = 434,437.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.