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Finding the Third Proportional to 143,048.81 and 310,677.75

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Solution

The third proportional to 143,048.81 and 310,677.75 is: 674,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,048.81 : 310,677.75 = 310,677.75 : x
  2. Step 2: Convert to fraction form
    143,048.81/310,677.75 = 310,677.75/x
  3. Step 3: Cross multiply
    143,048.81x = 310,677.75 × 310,677.75
  4. Step 4: Simplify right side
    143,048.81x = 96,520,664,345.06
  5. Step 5: Solve for x
    x = 96,520,664,345.06/143,048.81
  6. Step 6: Final answer
    x = 674,739.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.