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Finding the Third Proportional to 92,912 and 137,180.50

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Solution

The third proportional to 92,912 and 137,180.50 is: 202,541.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,912 : 137,180.50 = 137,180.50 : x
  2. Step 2: Convert to fraction form
    92,912/137,180.50 = 137,180.50/x
  3. Step 3: Cross multiply
    92,912x = 137,180.50 × 137,180.50
  4. Step 4: Simplify right side
    92,912x = 18,818,489,580.25
  5. Step 5: Solve for x
    x = 18,818,489,580.25/92,912
  6. Step 6: Final answer
    x = 202,541.00

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.