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Finding the Third Proportional to 149,730 and 219,021

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Solution

The third proportional to 149,730 and 219,021 is: 320,378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,730 : 219,021 = 219,021 : x
  2. Step 2: Convert to fraction form
    149,730/219,021 = 219,021/x
  3. Step 3: Cross multiply
    149,730x = 219,021 × 219,021
  4. Step 4: Simplify right side
    149,730x = 47,970,198,441
  5. Step 5: Solve for x
    x = 47,970,198,441/149,730
  6. Step 6: Final answer
    x = 320,378.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.