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Finding the Third Proportional to 228,880 and 498,429

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Solution

The third proportional to 228,880 and 498,429 is: 1,085,422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,880 : 498,429 = 498,429 : x
  2. Step 2: Convert to fraction form
    228,880/498,429 = 498,429/x
  3. Step 3: Cross multiply
    228,880x = 498,429 × 498,429
  4. Step 4: Simplify right side
    228,880x = 248,431,468,041
  5. Step 5: Solve for x
    x = 248,431,468,041/228,880
  6. Step 6: Final answer
    x = 1,085,422.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.