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Finding the Third Proportional to 322,280 and 709,000

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Solution

The third proportional to 322,280 and 709,000 is: 1,559,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,280 : 709,000 = 709,000 : x
  2. Step 2: Convert to fraction form
    322,280/709,000 = 709,000/x
  3. Step 3: Cross multiply
    322,280x = 709,000 × 709,000
  4. Step 4: Simplify right side
    322,280x = 502,681,000,000
  5. Step 5: Solve for x
    x = 502,681,000,000/322,280
  6. Step 6: Final answer
    x = 1,559,764.80

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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.