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Finding the Third Proportional to 430,228 and 665,826

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Solution

The third proportional to 430,228 and 665,826 is: 1,030,440.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,228 : 665,826 = 665,826 : x
  2. Step 2: Convert to fraction form
    430,228/665,826 = 665,826/x
  3. Step 3: Cross multiply
    430,228x = 665,826 × 665,826
  4. Step 4: Simplify right side
    430,228x = 443,324,262,276
  5. Step 5: Solve for x
    x = 443,324,262,276/430,228
  6. Step 6: Final answer
    x = 1,030,440.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.