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Finding the Third Proportional to 233,549 and 313,819

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Solution

The third proportional to 233,549 and 313,819 is: 421,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,549 : 313,819 = 313,819 : x
  2. Step 2: Convert to fraction form
    233,549/313,819 = 313,819/x
  3. Step 3: Cross multiply
    233,549x = 313,819 × 313,819
  4. Step 4: Simplify right side
    233,549x = 98,482,364,761
  5. Step 5: Solve for x
    x = 98,482,364,761/233,549
  6. Step 6: Final answer
    x = 421,677.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.