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Finding the Third Proportional to 97,610 and 211,850

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Solution

The third proportional to 97,610 and 211,850 is: 459,793.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,610 : 211,850 = 211,850 : x
  2. Step 2: Convert to fraction form
    97,610/211,850 = 211,850/x
  3. Step 3: Cross multiply
    97,610x = 211,850 × 211,850
  4. Step 4: Simplify right side
    97,610x = 44,880,422,500
  5. Step 5: Solve for x
    x = 44,880,422,500/97,610
  6. Step 6: Final answer
    x = 459,793.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.