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Finding the Third Proportional to 72,457.03 and 111,435.75

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Solution

The third proportional to 72,457.03 and 111,435.75 is: 171,383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,457.03 : 111,435.75 = 111,435.75 : x
  2. Step 2: Convert to fraction form
    72,457.03/111,435.75 = 111,435.75/x
  3. Step 3: Cross multiply
    72,457.03x = 111,435.75 × 111,435.75
  4. Step 4: Simplify right side
    72,457.03x = 12,417,926,378.06
  5. Step 5: Solve for x
    x = 12,417,926,378.06/72,457.03
  6. Step 6: Final answer
    x = 171,383.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.