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Finding the Third Proportional to 401,568 and 535,353

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Solution

The third proportional to 401,568 and 535,353 is: 713,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,568 : 535,353 = 535,353 : x
  2. Step 2: Convert to fraction form
    401,568/535,353 = 535,353/x
  3. Step 3: Cross multiply
    401,568x = 535,353 × 535,353
  4. Step 4: Simplify right side
    401,568x = 286,602,834,609
  5. Step 5: Solve for x
    x = 286,602,834,609/401,568
  6. Step 6: Final answer
    x = 713,709.35

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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.