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Finding the Third Proportional to 257,107.50 and 552,487.50

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Solution

The third proportional to 257,107.50 and 552,487.50 is: 1,187,217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,107.50 : 552,487.50 = 552,487.50 : x
  2. Step 2: Convert to fraction form
    257,107.50/552,487.50 = 552,487.50/x
  3. Step 3: Cross multiply
    257,107.50x = 552,487.50 × 552,487.50
  4. Step 4: Simplify right side
    257,107.50x = 305,242,437,656.25
  5. Step 5: Solve for x
    x = 305,242,437,656.25/257,107.50
  6. Step 6: Final answer
    x = 1,187,217.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.