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Finding the Third Proportional to 133,362 and 290,689.50

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Solution

The third proportional to 133,362 and 290,689.50 is: 633,616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,362 : 290,689.50 = 290,689.50 : x
  2. Step 2: Convert to fraction form
    133,362/290,689.50 = 290,689.50/x
  3. Step 3: Cross multiply
    133,362x = 290,689.50 × 290,689.50
  4. Step 4: Simplify right side
    133,362x = 84,500,385,410.25
  5. Step 5: Solve for x
    x = 84,500,385,410.25/133,362
  6. Step 6: Final answer
    x = 633,616.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.