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Finding the Third Proportional to 227,619 and 357,018

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Solution

The third proportional to 227,619 and 357,018 is: 559,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,619 : 357,018 = 357,018 : x
  2. Step 2: Convert to fraction form
    227,619/357,018 = 357,018/x
  3. Step 3: Cross multiply
    227,619x = 357,018 × 357,018
  4. Step 4: Simplify right side
    227,619x = 127,461,852,324
  5. Step 5: Solve for x
    x = 127,461,852,324/227,619
  6. Step 6: Final answer
    x = 559,978.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.