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Finding the Third Proportional to 291,054.67 and 454,285.18

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Solution

The third proportional to 291,054.67 and 454,285.18 is: 709,059.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,054.67 : 454,285.18 = 454,285.18 : x
  2. Step 2: Convert to fraction form
    291,054.67/454,285.18 = 454,285.18/x
  3. Step 3: Cross multiply
    291,054.67x = 454,285.18 × 454,285.18
  4. Step 4: Simplify right side
    291,054.67x = 206,375,022,709.16
  5. Step 5: Solve for x
    x = 206,375,022,709.16/291,054.67
  6. Step 6: Final answer
    x = 709,059.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.