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Finding the Third Proportional to 138,807 and 298,659

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Solution

The third proportional to 138,807 and 298,659 is: 642,598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,807 : 298,659 = 298,659 : x
  2. Step 2: Convert to fraction form
    138,807/298,659 = 298,659/x
  3. Step 3: Cross multiply
    138,807x = 298,659 × 298,659
  4. Step 4: Simplify right side
    138,807x = 89,197,198,281
  5. Step 5: Solve for x
    x = 89,197,198,281/138,807
  6. Step 6: Final answer
    x = 642,598.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.