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Finding the Third Proportional to 218,922 and 472,772

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Solution

The third proportional to 218,922 and 472,772 is: 1,020,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,922 : 472,772 = 472,772 : x
  2. Step 2: Convert to fraction form
    218,922/472,772 = 472,772/x
  3. Step 3: Cross multiply
    218,922x = 472,772 × 472,772
  4. Step 4: Simplify right side
    218,922x = 223,513,363,984
  5. Step 5: Solve for x
    x = 223,513,363,984/218,922
  6. Step 6: Final answer
    x = 1,020,972.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.