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Finding the Third Proportional to 321,460 and 706,381

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Solution

The third proportional to 321,460 and 706,381 is: 1,552,212.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,460 : 706,381 = 706,381 : x
  2. Step 2: Convert to fraction form
    321,460/706,381 = 706,381/x
  3. Step 3: Cross multiply
    321,460x = 706,381 × 706,381
  4. Step 4: Simplify right side
    321,460x = 498,974,117,161
  5. Step 5: Solve for x
    x = 498,974,117,161/321,460
  6. Step 6: Final answer
    x = 1,552,212.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.