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Finding the Third Proportional to 145,974 and 219,612

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Solution

The third proportional to 145,974 and 219,612 is: 330,397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,974 : 219,612 = 219,612 : x
  2. Step 2: Convert to fraction form
    145,974/219,612 = 219,612/x
  3. Step 3: Cross multiply
    145,974x = 219,612 × 219,612
  4. Step 4: Simplify right side
    145,974x = 48,229,430,544
  5. Step 5: Solve for x
    x = 48,229,430,544/145,974
  6. Step 6: Final answer
    x = 330,397.40

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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.