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Finding the Third Proportional to 143,580 and 316,104

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Solution

The third proportional to 143,580 and 316,104 is: 695,930.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,580 : 316,104 = 316,104 : x
  2. Step 2: Convert to fraction form
    143,580/316,104 = 316,104/x
  3. Step 3: Cross multiply
    143,580x = 316,104 × 316,104
  4. Step 4: Simplify right side
    143,580x = 99,921,738,816
  5. Step 5: Solve for x
    x = 99,921,738,816/143,580
  6. Step 6: Final answer
    x = 695,930.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.