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Finding the Third Proportional to 98,117 and 211,913

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Solution

The third proportional to 98,117 and 211,913 is: 457,689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,117 : 211,913 = 211,913 : x
  2. Step 2: Convert to fraction form
    98,117/211,913 = 211,913/x
  3. Step 3: Cross multiply
    98,117x = 211,913 × 211,913
  4. Step 4: Simplify right side
    98,117x = 44,907,119,569
  5. Step 5: Solve for x
    x = 44,907,119,569/98,117
  6. Step 6: Final answer
    x = 457,689.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.