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Finding the Third Proportional to 143,742.09 and 316,393.59

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Solution

The third proportional to 143,742.09 and 316,393.59 is: 696,420.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,742.09 : 316,393.59 = 316,393.59 : x
  2. Step 2: Convert to fraction form
    143,742.09/316,393.59 = 316,393.59/x
  3. Step 3: Cross multiply
    143,742.09x = 316,393.59 × 316,393.59
  4. Step 4: Simplify right side
    143,742.09x = 100,104,906,166.04
  5. Step 5: Solve for x
    x = 100,104,906,166.04/143,742.09
  6. Step 6: Final answer
    x = 696,420.26

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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.