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Finding the Third Proportional to 298,580 and 656,200

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Solution

The third proportional to 298,580 and 656,200 is: 1,442,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,580 : 656,200 = 656,200 : x
  2. Step 2: Convert to fraction form
    298,580/656,200 = 656,200/x
  3. Step 3: Cross multiply
    298,580x = 656,200 × 656,200
  4. Step 4: Simplify right side
    298,580x = 430,598,440,000
  5. Step 5: Solve for x
    x = 430,598,440,000/298,580
  6. Step 6: Final answer
    x = 1,442,154.33

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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.