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Finding the Third Proportional to 104,574 and 229,195.50

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Solution

The third proportional to 104,574 and 229,195.50 is: 502,329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,574 : 229,195.50 = 229,195.50 : x
  2. Step 2: Convert to fraction form
    104,574/229,195.50 = 229,195.50/x
  3. Step 3: Cross multiply
    104,574x = 229,195.50 × 229,195.50
  4. Step 4: Simplify right side
    104,574x = 52,530,577,220.25
  5. Step 5: Solve for x
    x = 52,530,577,220.25/104,574
  6. Step 6: Final answer
    x = 502,329.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.