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Finding the Third Proportional to 255,744 and 393,208.50

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Solution

The third proportional to 255,744 and 393,208.50 is: 604,561.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,744 : 393,208.50 = 393,208.50 : x
  2. Step 2: Convert to fraction form
    255,744/393,208.50 = 393,208.50/x
  3. Step 3: Cross multiply
    255,744x = 393,208.50 × 393,208.50
  4. Step 4: Simplify right side
    255,744x = 154,612,924,472.25
  5. Step 5: Solve for x
    x = 154,612,924,472.25/255,744
  6. Step 6: Final answer
    x = 604,561.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.