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Finding the Third Proportional to 66,563.53 and 145,324.31

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Solution

The third proportional to 66,563.53 and 145,324.31 is: 317,278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,563.53 : 145,324.31 = 145,324.31 : x
  2. Step 2: Convert to fraction form
    66,563.53/145,324.31 = 145,324.31/x
  3. Step 3: Cross multiply
    66,563.53x = 145,324.31 × 145,324.31
  4. Step 4: Simplify right side
    66,563.53x = 21,119,155,803.60
  5. Step 5: Solve for x
    x = 21,119,155,803.60/66,563.53
  6. Step 6: Final answer
    x = 317,278.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.