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Finding the Third Proportional to 321,060 and 703,020

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Solution

The third proportional to 321,060 and 703,020 is: 1,539,391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,060 : 703,020 = 703,020 : x
  2. Step 2: Convert to fraction form
    321,060/703,020 = 703,020/x
  3. Step 3: Cross multiply
    321,060x = 703,020 × 703,020
  4. Step 4: Simplify right side
    321,060x = 494,237,120,400
  5. Step 5: Solve for x
    x = 494,237,120,400/321,060
  6. Step 6: Final answer
    x = 1,539,391.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.