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Finding the Third Proportional to 217,057.50 and 336,055.50

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Solution

The third proportional to 217,057.50 and 336,055.50 is: 520,292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,057.50 : 336,055.50 = 336,055.50 : x
  2. Step 2: Convert to fraction form
    217,057.50/336,055.50 = 336,055.50/x
  3. Step 3: Cross multiply
    217,057.50x = 336,055.50 × 336,055.50
  4. Step 4: Simplify right side
    217,057.50x = 112,933,299,080.25
  5. Step 5: Solve for x
    x = 112,933,299,080.25/217,057.50
  6. Step 6: Final answer
    x = 520,292.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.