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Finding the Third Proportional to 401,919 and 535,785

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Solution

The third proportional to 401,919 and 535,785 is: 714,237.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,919 : 535,785 = 535,785 : x
  2. Step 2: Convert to fraction form
    401,919/535,785 = 535,785/x
  3. Step 3: Cross multiply
    401,919x = 535,785 × 535,785
  4. Step 4: Simplify right side
    401,919x = 287,065,566,225
  5. Step 5: Solve for x
    x = 287,065,566,225/401,919
  6. Step 6: Final answer
    x = 714,237.36

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.