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Finding the Third Proportional to 153,986 and 228,729

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Solution

The third proportional to 153,986 and 228,729 is: 339,751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,986 : 228,729 = 228,729 : x
  2. Step 2: Convert to fraction form
    153,986/228,729 = 228,729/x
  3. Step 3: Cross multiply
    153,986x = 228,729 × 228,729
  4. Step 4: Simplify right side
    153,986x = 52,316,955,441
  5. Step 5: Solve for x
    x = 52,316,955,441/153,986
  6. Step 6: Final answer
    x = 339,751.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.