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Finding the Third Proportional to 401,040 and 535,176

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Solution

The third proportional to 401,040 and 535,176 is: 714,176.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,040 : 535,176 = 535,176 : x
  2. Step 2: Convert to fraction form
    401,040/535,176 = 535,176/x
  3. Step 3: Cross multiply
    401,040x = 535,176 × 535,176
  4. Step 4: Simplify right side
    401,040x = 286,413,350,976
  5. Step 5: Solve for x
    x = 286,413,350,976/401,040
  6. Step 6: Final answer
    x = 714,176.52

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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.