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Finding the Third Proportional to 291,053.25 and 434,784.38

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Solution

The third proportional to 291,053.25 and 434,784.38 is: 649,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,053.25 : 434,784.38 = 434,784.38 : x
  2. Step 2: Convert to fraction form
    291,053.25/434,784.38 = 434,784.38/x
  3. Step 3: Cross multiply
    291,053.25x = 434,784.38 × 434,784.38
  4. Step 4: Simplify right side
    291,053.25x = 189,037,452,744.14
  5. Step 5: Solve for x
    x = 189,037,452,744.14/291,053.25
  6. Step 6: Final answer
    x = 649,494.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.