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Finding the Third Proportional to 153,931 and 236,447

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Solution

The third proportional to 153,931 and 236,447 is: 363,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,931 : 236,447 = 236,447 : x
  2. Step 2: Convert to fraction form
    153,931/236,447 = 236,447/x
  3. Step 3: Cross multiply
    153,931x = 236,447 × 236,447
  4. Step 4: Simplify right side
    153,931x = 55,907,183,809
  5. Step 5: Solve for x
    x = 55,907,183,809/153,931
  6. Step 6: Final answer
    x = 363,196.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.