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Finding the Third Proportional to 98,764 and 209,840

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Solution

The third proportional to 98,764 and 209,840 is: 445,838.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,764 : 209,840 = 209,840 : x
  2. Step 2: Convert to fraction form
    98,764/209,840 = 209,840/x
  3. Step 3: Cross multiply
    98,764x = 209,840 × 209,840
  4. Step 4: Simplify right side
    98,764x = 44,032,825,600
  5. Step 5: Solve for x
    x = 44,032,825,600/98,764
  6. Step 6: Final answer
    x = 445,838.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.