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Finding the Third Proportional to 401,485 and 591,131

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Solution

The third proportional to 401,485 and 591,131 is: 870,358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,485 : 591,131 = 591,131 : x
  2. Step 2: Convert to fraction form
    401,485/591,131 = 591,131/x
  3. Step 3: Cross multiply
    401,485x = 591,131 × 591,131
  4. Step 4: Simplify right side
    401,485x = 349,435,859,161
  5. Step 5: Solve for x
    x = 349,435,859,161/401,485
  6. Step 6: Final answer
    x = 870,358.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.