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Finding the Third Proportional to 153,985 and 228,728

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Solution

The third proportional to 153,985 and 228,728 is: 339,750.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,985 : 228,728 = 228,728 : x
  2. Step 2: Convert to fraction form
    153,985/228,728 = 228,728/x
  3. Step 3: Cross multiply
    153,985x = 228,728 × 228,728
  4. Step 4: Simplify right side
    153,985x = 52,316,497,984
  5. Step 5: Solve for x
    x = 52,316,497,984/153,985
  6. Step 6: Final answer
    x = 339,750.61

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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.