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Finding the Third Proportional to 99,751.50 and 221,646.38

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Solution

The third proportional to 99,751.50 and 221,646.38 is: 492,495.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,751.50 : 221,646.38 = 221,646.38 : x
  2. Step 2: Convert to fraction form
    99,751.50/221,646.38 = 221,646.38/x
  3. Step 3: Cross multiply
    99,751.50x = 221,646.38 × 221,646.38
  4. Step 4: Simplify right side
    99,751.50x = 49,127,115,550.64
  5. Step 5: Solve for x
    x = 49,127,115,550.64/99,751.50
  6. Step 6: Final answer
    x = 492,495.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.