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Finding the Third Proportional to 269,140 and 398,498

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Solution

The third proportional to 269,140 and 398,498 is: 590,029.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,140 : 398,498 = 398,498 : x
  2. Step 2: Convert to fraction form
    269,140/398,498 = 398,498/x
  3. Step 3: Cross multiply
    269,140x = 398,498 × 398,498
  4. Step 4: Simplify right side
    269,140x = 158,800,656,004
  5. Step 5: Solve for x
    x = 158,800,656,004/269,140
  6. Step 6: Final answer
    x = 590,029.93

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.