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Finding the Third Proportional to 142,993 and 310,886

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Solution

The third proportional to 142,993 and 310,886 is: 675,907.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,993 : 310,886 = 310,886 : x
  2. Step 2: Convert to fraction form
    142,993/310,886 = 310,886/x
  3. Step 3: Cross multiply
    142,993x = 310,886 × 310,886
  4. Step 4: Simplify right side
    142,993x = 96,650,104,996
  5. Step 5: Solve for x
    x = 96,650,104,996/142,993
  6. Step 6: Final answer
    x = 675,907.95

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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.