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Finding the Third Proportional to 640,905 and 996,345

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Solution

The third proportional to 640,905 and 996,345 is: 1,548,908.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,905 : 996,345 = 996,345 : x
  2. Step 2: Convert to fraction form
    640,905/996,345 = 996,345/x
  3. Step 3: Cross multiply
    640,905x = 996,345 × 996,345
  4. Step 4: Simplify right side
    640,905x = 992,703,359,025
  5. Step 5: Solve for x
    x = 992,703,359,025/640,905
  6. Step 6: Final answer
    x = 1,548,908.74

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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.