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Finding the Third Proportional to 676,886 and 898,503

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Solution

The third proportional to 676,886 and 898,503 is: 1,192,678.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,886 : 898,503 = 898,503 : x
  2. Step 2: Convert to fraction form
    676,886/898,503 = 898,503/x
  3. Step 3: Cross multiply
    676,886x = 898,503 × 898,503
  4. Step 4: Simplify right side
    676,886x = 807,307,641,009
  5. Step 5: Solve for x
    x = 807,307,641,009/676,886
  6. Step 6: Final answer
    x = 1,192,678.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.