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Finding the Third Proportional to 143,005.31 and 313,484.81

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Solution

The third proportional to 143,005.31 and 313,484.81 is: 687,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,005.31 : 313,484.81 = 313,484.81 : x
  2. Step 2: Convert to fraction form
    143,005.31/313,484.81 = 313,484.81/x
  3. Step 3: Cross multiply
    143,005.31x = 313,484.81 × 313,484.81
  4. Step 4: Simplify right side
    143,005.31x = 98,272,727,668.16
  5. Step 5: Solve for x
    x = 98,272,727,668.16/143,005.31
  6. Step 6: Final answer
    x = 687,196.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.