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Finding the Third Proportional to 142,113 and 306,996

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Solution

The third proportional to 142,113 and 306,996 is: 663,180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,113 : 306,996 = 306,996 : x
  2. Step 2: Convert to fraction form
    142,113/306,996 = 306,996/x
  3. Step 3: Cross multiply
    142,113x = 306,996 × 306,996
  4. Step 4: Simplify right side
    142,113x = 94,246,544,016
  5. Step 5: Solve for x
    x = 94,246,544,016/142,113
  6. Step 6: Final answer
    x = 663,180.31

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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.