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Finding the Third Proportional to 92,583 and 144,433.13

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Solution

The third proportional to 92,583 and 144,433.13 is: 225,321.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,583 : 144,433.13 = 144,433.13 : x
  2. Step 2: Convert to fraction form
    92,583/144,433.13 = 144,433.13/x
  3. Step 3: Cross multiply
    92,583x = 144,433.13 × 144,433.13
  4. Step 4: Simplify right side
    92,583x = 20,860,927,597.27
  5. Step 5: Solve for x
    x = 20,860,927,597.27/92,583
  6. Step 6: Final answer
    x = 225,321.36

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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.