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Finding the Third Proportional to 92,722.50 and 143,457.75

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Solution

The third proportional to 92,722.50 and 143,457.75 is: 221,953.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,722.50 : 143,457.75 = 143,457.75 : x
  2. Step 2: Convert to fraction form
    92,722.50/143,457.75 = 143,457.75/x
  3. Step 3: Cross multiply
    92,722.50x = 143,457.75 × 143,457.75
  4. Step 4: Simplify right side
    92,722.50x = 20,580,126,035.06
  5. Step 5: Solve for x
    x = 20,580,126,035.06/92,722.50
  6. Step 6: Final answer
    x = 221,953.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.