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Finding the Third Proportional to 143,220.66 and 315,041.91

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Solution

The third proportional to 143,220.66 and 315,041.91 is: 692,996.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,220.66 : 315,041.91 = 315,041.91 : x
  2. Step 2: Convert to fraction form
    143,220.66/315,041.91 = 315,041.91/x
  3. Step 3: Cross multiply
    143,220.66x = 315,041.91 × 315,041.91
  4. Step 4: Simplify right side
    143,220.66x = 99,251,402,693.63
  5. Step 5: Solve for x
    x = 99,251,402,693.63/143,220.66
  6. Step 6: Final answer
    x = 692,996.42

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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.