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Finding the Third Proportional to 255,208.50 and 307,424.25

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Solution

The third proportional to 255,208.50 and 307,424.25 is: 370,323.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,208.50 : 307,424.25 = 307,424.25 : x
  2. Step 2: Convert to fraction form
    255,208.50/307,424.25 = 307,424.25/x
  3. Step 3: Cross multiply
    255,208.50x = 307,424.25 × 307,424.25
  4. Step 4: Simplify right side
    255,208.50x = 94,509,669,488.06
  5. Step 5: Solve for x
    x = 94,509,669,488.06/255,208.50
  6. Step 6: Final answer
    x = 370,323.36

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.