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Finding the Third Proportional to 145,592 and 218,388

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Solution

The third proportional to 145,592 and 218,388 is: 327,582

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,592 : 218,388 = 218,388 : x
  2. Step 2: Convert to fraction form
    145,592/218,388 = 218,388/x
  3. Step 3: Cross multiply
    145,592x = 218,388 × 218,388
  4. Step 4: Simplify right side
    145,592x = 47,693,318,544
  5. Step 5: Solve for x
    x = 47,693,318,544/145,592
  6. Step 6: Final answer
    x = 327,582

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.