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Finding the Third Proportional to 401,558 and 535,338

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Solution

The third proportional to 401,558 and 535,338 is: 713,687.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,558 : 535,338 = 535,338 : x
  2. Step 2: Convert to fraction form
    401,558/535,338 = 535,338/x
  3. Step 3: Cross multiply
    401,558x = 535,338 × 535,338
  4. Step 4: Simplify right side
    401,558x = 286,586,774,244
  5. Step 5: Solve for x
    x = 286,586,774,244/401,558
  6. Step 6: Final answer
    x = 713,687.12

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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.