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Finding the Third Proportional to 143,095 and 310,795

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Solution

The third proportional to 143,095 and 310,795 is: 675,030.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,095 : 310,795 = 310,795 : x
  2. Step 2: Convert to fraction form
    143,095/310,795 = 310,795/x
  3. Step 3: Cross multiply
    143,095x = 310,795 × 310,795
  4. Step 4: Simplify right side
    143,095x = 96,593,532,025
  5. Step 5: Solve for x
    x = 96,593,532,025/143,095
  6. Step 6: Final answer
    x = 675,030.80

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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.