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Finding the Third Proportional to 401,570 and 535,356

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Solution

The third proportional to 401,570 and 535,356 is: 713,713.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,570 : 535,356 = 535,356 : x
  2. Step 2: Convert to fraction form
    401,570/535,356 = 535,356/x
  3. Step 3: Cross multiply
    401,570x = 535,356 × 535,356
  4. Step 4: Simplify right side
    401,570x = 286,606,046,736
  5. Step 5: Solve for x
    x = 286,606,046,736/401,570
  6. Step 6: Final answer
    x = 713,713.79

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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.