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Finding the Third Proportional to 401,560 and 535,341

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Solution

The third proportional to 401,560 and 535,341 is: 713,691.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,560 : 535,341 = 535,341 : x
  2. Step 2: Convert to fraction form
    401,560/535,341 = 535,341/x
  3. Step 3: Cross multiply
    401,560x = 535,341 × 535,341
  4. Step 4: Simplify right side
    401,560x = 286,589,986,281
  5. Step 5: Solve for x
    x = 286,589,986,281/401,560
  6. Step 6: Final answer
    x = 713,691.57

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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.