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Finding the Third Proportional to 420,894 and 900,999

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Solution

The third proportional to 420,894 and 900,999 is: 1,928,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,894 : 900,999 = 900,999 : x
  2. Step 2: Convert to fraction form
    420,894/900,999 = 900,999/x
  3. Step 3: Cross multiply
    420,894x = 900,999 × 900,999
  4. Step 4: Simplify right side
    420,894x = 811,799,198,001
  5. Step 5: Solve for x
    x = 811,799,198,001/420,894
  6. Step 6: Final answer
    x = 1,928,749.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.