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Finding the Third Proportional to 388,921.50 and 536,118.75

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Solution

The third proportional to 388,921.50 and 536,118.75 is: 739,026.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,921.50 : 536,118.75 = 536,118.75 : x
  2. Step 2: Convert to fraction form
    388,921.50/536,118.75 = 536,118.75/x
  3. Step 3: Cross multiply
    388,921.50x = 536,118.75 × 536,118.75
  4. Step 4: Simplify right side
    388,921.50x = 287,423,314,101.56
  5. Step 5: Solve for x
    x = 287,423,314,101.56/388,921.50
  6. Step 6: Final answer
    x = 739,026.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.