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Finding the Third Proportional to 401,616.75 and 535,429.13

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Solution

The third proportional to 401,616.75 and 535,429.13 is: 713,825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,616.75 : 535,429.13 = 535,429.13 : x
  2. Step 2: Convert to fraction form
    401,616.75/535,429.13 = 535,429.13/x
  3. Step 3: Cross multiply
    401,616.75x = 535,429.13 × 535,429.13
  4. Step 4: Simplify right side
    401,616.75x = 286,684,347,898.27
  5. Step 5: Solve for x
    x = 286,684,347,898.27/401,616.75
  6. Step 6: Final answer
    x = 713,825.68

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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.