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Finding the Third Proportional to 106,587 and 153,987

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Solution

The third proportional to 106,587 and 153,987 is: 222,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,587 : 153,987 = 153,987 : x
  2. Step 2: Convert to fraction form
    106,587/153,987 = 153,987/x
  3. Step 3: Cross multiply
    106,587x = 153,987 × 153,987
  4. Step 4: Simplify right side
    106,587x = 23,711,996,169
  5. Step 5: Solve for x
    x = 23,711,996,169/106,587
  6. Step 6: Final answer
    x = 222,466.12

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.