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Finding the Third Proportional to 291,294 and 438,993

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Solution

The third proportional to 291,294 and 438,993 is: 661,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,294 : 438,993 = 438,993 : x
  2. Step 2: Convert to fraction form
    291,294/438,993 = 438,993/x
  3. Step 3: Cross multiply
    291,294x = 438,993 × 438,993
  4. Step 4: Simplify right side
    291,294x = 192,714,854,049
  5. Step 5: Solve for x
    x = 192,714,854,049/291,294
  6. Step 6: Final answer
    x = 661,581.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.