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Finding the Third Proportional to 149,737 and 219,030

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Solution

The third proportional to 149,737 and 219,030 is: 320,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,737 : 219,030 = 219,030 : x
  2. Step 2: Convert to fraction form
    149,737/219,030 = 219,030/x
  3. Step 3: Cross multiply
    149,737x = 219,030 × 219,030
  4. Step 4: Simplify right side
    149,737x = 47,974,140,900
  5. Step 5: Solve for x
    x = 47,974,140,900/149,737
  6. Step 6: Final answer
    x = 320,389.36

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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.