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Finding the Third Proportional to 639,414 and 985,365

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Solution

The third proportional to 639,414 and 985,365 is: 1,518,490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,414 : 985,365 = 985,365 : x
  2. Step 2: Convert to fraction form
    639,414/985,365 = 985,365/x
  3. Step 3: Cross multiply
    639,414x = 985,365 × 985,365
  4. Step 4: Simplify right side
    639,414x = 970,944,183,225
  5. Step 5: Solve for x
    x = 970,944,183,225/639,414
  6. Step 6: Final answer
    x = 1,518,490.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.