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Finding the Third Proportional to 218,712 and 326,922

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Solution

The third proportional to 218,712 and 326,922 is: 488,670.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,712 : 326,922 = 326,922 : x
  2. Step 2: Convert to fraction form
    218,712/326,922 = 326,922/x
  3. Step 3: Cross multiply
    218,712x = 326,922 × 326,922
  4. Step 4: Simplify right side
    218,712x = 106,877,994,084
  5. Step 5: Solve for x
    x = 106,877,994,084/218,712
  6. Step 6: Final answer
    x = 488,670.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.