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Finding the Third Proportional to 242,259.75 and 339,480

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Solution

The third proportional to 242,259.75 and 339,480 is: 475,715.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,259.75 : 339,480 = 339,480 : x
  2. Step 2: Convert to fraction form
    242,259.75/339,480 = 339,480/x
  3. Step 3: Cross multiply
    242,259.75x = 339,480 × 339,480
  4. Step 4: Simplify right side
    242,259.75x = 115,246,670,400
  5. Step 5: Solve for x
    x = 115,246,670,400/242,259.75
  6. Step 6: Final answer
    x = 475,715.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.