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Finding the Third Proportional to 197,430.75 and 288,742.13

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Solution

The third proportional to 197,430.75 and 288,742.13 is: 422,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,430.75 : 288,742.13 = 288,742.13 : x
  2. Step 2: Convert to fraction form
    197,430.75/288,742.13 = 288,742.13/x
  3. Step 3: Cross multiply
    197,430.75x = 288,742.13 × 288,742.13
  4. Step 4: Simplify right side
    197,430.75x = 83,372,014,749.52
  5. Step 5: Solve for x
    x = 83,372,014,749.52/197,430.75
  6. Step 6: Final answer
    x = 422,284.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.