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Finding the Third Proportional to 143,772 and 310,008

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Solution

The third proportional to 143,772 and 310,008 is: 668,453.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,772 : 310,008 = 310,008 : x
  2. Step 2: Convert to fraction form
    143,772/310,008 = 310,008/x
  3. Step 3: Cross multiply
    143,772x = 310,008 × 310,008
  4. Step 4: Simplify right side
    143,772x = 96,104,960,064
  5. Step 5: Solve for x
    x = 96,104,960,064/143,772
  6. Step 6: Final answer
    x = 668,453.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.