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Finding the Third Proportional to 180,335 and 281,420.50

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Solution

The third proportional to 180,335 and 281,420.50 is: 439,168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,335 : 281,420.50 = 281,420.50 : x
  2. Step 2: Convert to fraction form
    180,335/281,420.50 = 281,420.50/x
  3. Step 3: Cross multiply
    180,335x = 281,420.50 × 281,420.50
  4. Step 4: Simplify right side
    180,335x = 79,197,497,820.25
  5. Step 5: Solve for x
    x = 79,197,497,820.25/180,335
  6. Step 6: Final answer
    x = 439,168.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.