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Finding the Third Proportional to 291,298.78 and 623,074.78

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Solution

The third proportional to 291,298.78 and 623,074.78 is: 1,332,728.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,298.78 : 623,074.78 = 623,074.78 : x
  2. Step 2: Convert to fraction form
    291,298.78/623,074.78 = 623,074.78/x
  3. Step 3: Cross multiply
    291,298.78x = 623,074.78 × 623,074.78
  4. Step 4: Simplify right side
    291,298.78x = 388,222,183,029.74
  5. Step 5: Solve for x
    x = 388,222,183,029.74/291,298.78
  6. Step 6: Final answer
    x = 1,332,728.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.