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Finding the Third Proportional to 298,658 and 656,365

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Solution

The third proportional to 298,658 and 656,365 is: 1,442,502.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,658 : 656,365 = 656,365 : x
  2. Step 2: Convert to fraction form
    298,658/656,365 = 656,365/x
  3. Step 3: Cross multiply
    298,658x = 656,365 × 656,365
  4. Step 4: Simplify right side
    298,658x = 430,815,013,225
  5. Step 5: Solve for x
    x = 430,815,013,225/298,658
  6. Step 6: Final answer
    x = 1,442,502.84

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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.