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Finding the Third Proportional to 681,921 and 992,894

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Solution

The third proportional to 681,921 and 992,894 is: 1,445,678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,921 : 992,894 = 992,894 : x
  2. Step 2: Convert to fraction form
    681,921/992,894 = 992,894/x
  3. Step 3: Cross multiply
    681,921x = 992,894 × 992,894
  4. Step 4: Simplify right side
    681,921x = 985,838,495,236
  5. Step 5: Solve for x
    x = 985,838,495,236/681,921
  6. Step 6: Final answer
    x = 1,445,678.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.