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Finding the Third Proportional to 97,402.50 and 211,410

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Solution

The third proportional to 97,402.50 and 211,410 is: 458,860.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,402.50 : 211,410 = 211,410 : x
  2. Step 2: Convert to fraction form
    97,402.50/211,410 = 211,410/x
  3. Step 3: Cross multiply
    97,402.50x = 211,410 × 211,410
  4. Step 4: Simplify right side
    97,402.50x = 44,694,188,100
  5. Step 5: Solve for x
    x = 44,694,188,100/97,402.50
  6. Step 6: Final answer
    x = 458,860.79

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