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Finding the Third Proportional to 231,912 and 358,824

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Solution

The third proportional to 231,912 and 358,824 is: 555,187.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,912 : 358,824 = 358,824 : x
  2. Step 2: Convert to fraction form
    231,912/358,824 = 358,824/x
  3. Step 3: Cross multiply
    231,912x = 358,824 × 358,824
  4. Step 4: Simplify right side
    231,912x = 128,754,662,976
  5. Step 5: Solve for x
    x = 128,754,662,976/231,912
  6. Step 6: Final answer
    x = 555,187.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.