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Finding the Third Proportional to 91,010.75 and 142,457.75

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Solution

The third proportional to 91,010.75 and 142,457.75 is: 222,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,010.75 : 142,457.75 = 142,457.75 : x
  2. Step 2: Convert to fraction form
    91,010.75/142,457.75 = 142,457.75/x
  3. Step 3: Cross multiply
    91,010.75x = 142,457.75 × 142,457.75
  4. Step 4: Simplify right side
    91,010.75x = 20,294,210,535.06
  5. Step 5: Solve for x
    x = 20,294,210,535.06/91,010.75
  6. Step 6: Final answer
    x = 222,986.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.