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Finding the Third Proportional to 145,662 and 219,830

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Solution

The third proportional to 145,662 and 219,830 is: 331,762.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,662 : 219,830 = 219,830 : x
  2. Step 2: Convert to fraction form
    145,662/219,830 = 219,830/x
  3. Step 3: Cross multiply
    145,662x = 219,830 × 219,830
  4. Step 4: Simplify right side
    145,662x = 48,325,228,900
  5. Step 5: Solve for x
    x = 48,325,228,900/145,662
  6. Step 6: Final answer
    x = 331,762.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.