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Finding the Third Proportional to 146,220 and 318,864

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Solution

The third proportional to 146,220 and 318,864 is: 695,351.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,220 : 318,864 = 318,864 : x
  2. Step 2: Convert to fraction form
    146,220/318,864 = 318,864/x
  3. Step 3: Cross multiply
    146,220x = 318,864 × 318,864
  4. Step 4: Simplify right side
    146,220x = 101,674,250,496
  5. Step 5: Solve for x
    x = 101,674,250,496/146,220
  6. Step 6: Final answer
    x = 695,351.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.