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Finding the Third Proportional to 380,999.32 and 522,453.80

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Solution

The third proportional to 380,999.32 and 522,453.80 is: 716,426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,999.32 : 522,453.80 = 522,453.80 : x
  2. Step 2: Convert to fraction form
    380,999.32/522,453.80 = 522,453.80/x
  3. Step 3: Cross multiply
    380,999.32x = 522,453.80 × 522,453.80
  4. Step 4: Simplify right side
    380,999.32x = 272,957,969,869.10
  5. Step 5: Solve for x
    x = 272,957,969,869.10/380,999.32
  6. Step 6: Final answer
    x = 716,426.40

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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.