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Finding the Third Proportional to 321,736 and 706,490

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Solution

The third proportional to 321,736 and 706,490 is: 1,551,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,736 : 706,490 = 706,490 : x
  2. Step 2: Convert to fraction form
    321,736/706,490 = 706,490/x
  3. Step 3: Cross multiply
    321,736x = 706,490 × 706,490
  4. Step 4: Simplify right side
    321,736x = 499,128,120,100
  5. Step 5: Solve for x
    x = 499,128,120,100/321,736
  6. Step 6: Final answer
    x = 1,551,359.25

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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.