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Finding the Third Proportional to 157,155.50 and 339,205

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Solution

The third proportional to 157,155.50 and 339,205 is: 732,141.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,155.50 : 339,205 = 339,205 : x
  2. Step 2: Convert to fraction form
    157,155.50/339,205 = 339,205/x
  3. Step 3: Cross multiply
    157,155.50x = 339,205 × 339,205
  4. Step 4: Simplify right side
    157,155.50x = 115,060,032,025
  5. Step 5: Solve for x
    x = 115,060,032,025/157,155.50
  6. Step 6: Final answer
    x = 732,141.30

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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.