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Finding the Third Proportional to 157,216.78 and 339,327.84

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Solution

The third proportional to 157,216.78 and 339,327.84 is: 732,386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,216.78 : 339,327.84 = 339,327.84 : x
  2. Step 2: Convert to fraction form
    157,216.78/339,327.84 = 339,327.84/x
  3. Step 3: Cross multiply
    157,216.78x = 339,327.84 × 339,327.84
  4. Step 4: Simplify right side
    157,216.78x = 115,143,385,544.02
  5. Step 5: Solve for x
    x = 115,143,385,544.02/157,216.78
  6. Step 6: Final answer
    x = 732,386.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.