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Finding the Third Proportional to 216,428 and 472,220

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Solution

The third proportional to 216,428 and 472,220 is: 1,030,327.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,428 : 472,220 = 472,220 : x
  2. Step 2: Convert to fraction form
    216,428/472,220 = 472,220/x
  3. Step 3: Cross multiply
    216,428x = 472,220 × 472,220
  4. Step 4: Simplify right side
    216,428x = 222,991,728,400
  5. Step 5: Solve for x
    x = 222,991,728,400/216,428
  6. Step 6: Final answer
    x = 1,030,327.54

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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.