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Finding the Third Proportional to 389,837.25 and 583,138.13

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Solution

The third proportional to 389,837.25 and 583,138.13 is: 872,287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,837.25 : 583,138.13 = 583,138.13 : x
  2. Step 2: Convert to fraction form
    389,837.25/583,138.13 = 583,138.13/x
  3. Step 3: Cross multiply
    389,837.25x = 583,138.13 × 583,138.13
  4. Step 4: Simplify right side
    389,837.25x = 340,050,072,828.52
  5. Step 5: Solve for x
    x = 340,050,072,828.52/389,837.25
  6. Step 6: Final answer
    x = 872,287.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.