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Finding the Third Proportional to 93,447 and 141,142.50

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Solution

The third proportional to 93,447 and 141,142.50 is: 213,181.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,447 : 141,142.50 = 141,142.50 : x
  2. Step 2: Convert to fraction form
    93,447/141,142.50 = 141,142.50/x
  3. Step 3: Cross multiply
    93,447x = 141,142.50 × 141,142.50
  4. Step 4: Simplify right side
    93,447x = 19,921,205,306.25
  5. Step 5: Solve for x
    x = 19,921,205,306.25/93,447
  6. Step 6: Final answer
    x = 213,181.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.