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Finding the Third Proportional to 180,417 and 256,447.50

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Solution

The third proportional to 180,417 and 256,447.50 is: 364,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,417 : 256,447.50 = 256,447.50 : x
  2. Step 2: Convert to fraction form
    180,417/256,447.50 = 256,447.50/x
  3. Step 3: Cross multiply
    180,417x = 256,447.50 × 256,447.50
  4. Step 4: Simplify right side
    180,417x = 65,765,320,256.25
  5. Step 5: Solve for x
    x = 65,765,320,256.25/180,417
  6. Step 6: Final answer
    x = 364,518.42

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.