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Finding the Third Proportional to 676,879 and 898,495

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Solution

The third proportional to 676,879 and 898,495 is: 1,192,669.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,879 : 898,495 = 898,495 : x
  2. Step 2: Convert to fraction form
    676,879/898,495 = 898,495/x
  3. Step 3: Cross multiply
    676,879x = 898,495 × 898,495
  4. Step 4: Simplify right side
    676,879x = 807,293,265,025
  5. Step 5: Solve for x
    x = 807,293,265,025/676,879
  6. Step 6: Final answer
    x = 1,192,669.98

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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.