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Finding the Third Proportional to 380,985.38 and 522,434.44

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Solution

The third proportional to 380,985.38 and 522,434.44 is: 716,399.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,985.38 : 522,434.44 = 522,434.44 : x
  2. Step 2: Convert to fraction form
    380,985.38/522,434.44 = 522,434.44/x
  3. Step 3: Cross multiply
    380,985.38x = 522,434.44 × 522,434.44
  4. Step 4: Simplify right side
    380,985.38x = 272,937,741,485.94
  5. Step 5: Solve for x
    x = 272,937,741,485.94/380,985.38
  6. Step 6: Final answer
    x = 716,399.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.