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Finding the Third Proportional to 255,631.50 and 388,759.13

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Solution

The third proportional to 255,631.50 and 388,759.13 is: 591,216.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,631.50 : 388,759.13 = 388,759.13 : x
  2. Step 2: Convert to fraction form
    255,631.50/388,759.13 = 388,759.13/x
  3. Step 3: Cross multiply
    255,631.50x = 388,759.13 × 388,759.13
  4. Step 4: Simplify right side
    255,631.50x = 151,133,657,270.77
  5. Step 5: Solve for x
    x = 151,133,657,270.77/255,631.50
  6. Step 6: Final answer
    x = 591,216.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.