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Finding the Third Proportional to 181,575 and 397,602

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Solution

The third proportional to 181,575 and 397,602 is: 870,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,575 : 397,602 = 397,602 : x
  2. Step 2: Convert to fraction form
    181,575/397,602 = 397,602/x
  3. Step 3: Cross multiply
    181,575x = 397,602 × 397,602
  4. Step 4: Simplify right side
    181,575x = 158,087,350,404
  5. Step 5: Solve for x
    x = 158,087,350,404/181,575
  6. Step 6: Final answer
    x = 870,644.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.