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Finding the Third Proportional to 331,356 and 721,368

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Solution

The third proportional to 331,356 and 721,368 is: 1,570,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,356 : 721,368 = 721,368 : x
  2. Step 2: Convert to fraction form
    331,356/721,368 = 721,368/x
  3. Step 3: Cross multiply
    331,356x = 721,368 × 721,368
  4. Step 4: Simplify right side
    331,356x = 520,371,791,424
  5. Step 5: Solve for x
    x = 520,371,791,424/331,356
  6. Step 6: Final answer
    x = 1,570,431.17

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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.