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Finding the Third Proportional to 92,461.50 and 100,784.25

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Solution

The third proportional to 92,461.50 and 100,784.25 is: 109,856.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,461.50 : 100,784.25 = 100,784.25 : x
  2. Step 2: Convert to fraction form
    92,461.50/100,784.25 = 100,784.25/x
  3. Step 3: Cross multiply
    92,461.50x = 100,784.25 × 100,784.25
  4. Step 4: Simplify right side
    92,461.50x = 10,157,465,048.06
  5. Step 5: Solve for x
    x = 10,157,465,048.06/92,461.50
  6. Step 6: Final answer
    x = 109,856.16

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.