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Finding the Third Proportional to 353,652 and 540,807

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Solution

The third proportional to 353,652 and 540,807 is: 827,005.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,652 : 540,807 = 540,807 : x
  2. Step 2: Convert to fraction form
    353,652/540,807 = 540,807/x
  3. Step 3: Cross multiply
    353,652x = 540,807 × 540,807
  4. Step 4: Simplify right side
    353,652x = 292,472,211,249
  5. Step 5: Solve for x
    x = 292,472,211,249/353,652
  6. Step 6: Final answer
    x = 827,005.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.