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Finding the Third Proportional to 640,988 and 996,444

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Solution

The third proportional to 640,988 and 996,444 is: 1,549,015.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,988 : 996,444 = 996,444 : x
  2. Step 2: Convert to fraction form
    640,988/996,444 = 996,444/x
  3. Step 3: Cross multiply
    640,988x = 996,444 × 996,444
  4. Step 4: Simplify right side
    640,988x = 992,900,645,136
  5. Step 5: Solve for x
    x = 992,900,645,136/640,988
  6. Step 6: Final answer
    x = 1,549,015.96

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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.