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Finding the Third Proportional to 408,143 and 643,518

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Solution

The third proportional to 408,143 and 643,518 is: 1,014,633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,143 : 643,518 = 643,518 : x
  2. Step 2: Convert to fraction form
    408,143/643,518 = 643,518/x
  3. Step 3: Cross multiply
    408,143x = 643,518 × 643,518
  4. Step 4: Simplify right side
    408,143x = 414,115,416,324
  5. Step 5: Solve for x
    x = 414,115,416,324/408,143
  6. Step 6: Final answer
    x = 1,014,633.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.