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Finding the Third Proportional to 155,352 and 339,972

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Solution

The third proportional to 155,352 and 339,972 is: 743,994.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,352 : 339,972 = 339,972 : x
  2. Step 2: Convert to fraction form
    155,352/339,972 = 339,972/x
  3. Step 3: Cross multiply
    155,352x = 339,972 × 339,972
  4. Step 4: Simplify right side
    155,352x = 115,580,960,784
  5. Step 5: Solve for x
    x = 115,580,960,784/155,352
  6. Step 6: Final answer
    x = 743,994.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.