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Finding the Third Proportional to 401,330 and 535,287

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Solution

The third proportional to 401,330 and 535,287 is: 713,956.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,330 : 535,287 = 535,287 : x
  2. Step 2: Convert to fraction form
    401,330/535,287 = 535,287/x
  3. Step 3: Cross multiply
    401,330x = 535,287 × 535,287
  4. Step 4: Simplify right side
    401,330x = 286,532,172,369
  5. Step 5: Solve for x
    x = 286,532,172,369/401,330
  6. Step 6: Final answer
    x = 713,956.53

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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.