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Finding the Third Proportional to 99,970.50 and 211,179

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Solution

The third proportional to 99,970.50 and 211,179 is: 446,097.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,970.50 : 211,179 = 211,179 : x
  2. Step 2: Convert to fraction form
    99,970.50/211,179 = 211,179/x
  3. Step 3: Cross multiply
    99,970.50x = 211,179 × 211,179
  4. Step 4: Simplify right side
    99,970.50x = 44,596,570,041
  5. Step 5: Solve for x
    x = 44,596,570,041/99,970.50
  6. Step 6: Final answer
    x = 446,097.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.