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Finding the Third Proportional to 221,076 and 477,376

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Solution

The third proportional to 221,076 and 477,376 is: 1,030,812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,076 : 477,376 = 477,376 : x
  2. Step 2: Convert to fraction form
    221,076/477,376 = 477,376/x
  3. Step 3: Cross multiply
    221,076x = 477,376 × 477,376
  4. Step 4: Simplify right side
    221,076x = 227,887,845,376
  5. Step 5: Solve for x
    x = 227,887,845,376/221,076
  6. Step 6: Final answer
    x = 1,030,812.23

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Why These Related Problems?

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