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Finding the Third Proportional to 489,910 and 999,501

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Solution

The third proportional to 489,910 and 999,501 is: 2,039,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,910 : 999,501 = 999,501 : x
  2. Step 2: Convert to fraction form
    489,910/999,501 = 999,501/x
  3. Step 3: Cross multiply
    489,910x = 999,501 × 999,501
  4. Step 4: Simplify right side
    489,910x = 999,002,249,001
  5. Step 5: Solve for x
    x = 999,002,249,001/489,910
  6. Step 6: Final answer
    x = 2,039,154.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.