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Finding the Third Proportional to 221,213 and 471,382

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Solution

The third proportional to 221,213 and 471,382 is: 1,004,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,213 : 471,382 = 471,382 : x
  2. Step 2: Convert to fraction form
    221,213/471,382 = 471,382/x
  3. Step 3: Cross multiply
    221,213x = 471,382 × 471,382
  4. Step 4: Simplify right side
    221,213x = 222,200,989,924
  5. Step 5: Solve for x
    x = 222,200,989,924/221,213
  6. Step 6: Final answer
    x = 1,004,466.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.