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Finding the Third Proportional to 228,623 and 356,018

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Solution

The third proportional to 228,623 and 356,018 is: 554,400.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,623 : 356,018 = 356,018 : x
  2. Step 2: Convert to fraction form
    228,623/356,018 = 356,018/x
  3. Step 3: Cross multiply
    228,623x = 356,018 × 356,018
  4. Step 4: Simplify right side
    228,623x = 126,748,816,324
  5. Step 5: Solve for x
    x = 126,748,816,324/228,623
  6. Step 6: Final answer
    x = 554,400.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.