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Finding the Third Proportional to 220,470 and 322,202.25

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Solution

The third proportional to 220,470 and 322,202.25 is: 470,877.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,470 : 322,202.25 = 322,202.25 : x
  2. Step 2: Convert to fraction form
    220,470/322,202.25 = 322,202.25/x
  3. Step 3: Cross multiply
    220,470x = 322,202.25 × 322,202.25
  4. Step 4: Simplify right side
    220,470x = 103,814,289,905.06
  5. Step 5: Solve for x
    x = 103,814,289,905.06/220,470
  6. Step 6: Final answer
    x = 470,877.17

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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.