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Finding the Third Proportional to 133,690.50 and 290,435.63

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Solution

The third proportional to 133,690.50 and 290,435.63 is: 630,956.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,690.50 : 290,435.63 = 290,435.63 : x
  2. Step 2: Convert to fraction form
    133,690.50/290,435.63 = 290,435.63/x
  3. Step 3: Cross multiply
    133,690.50x = 290,435.63 × 290,435.63
  4. Step 4: Simplify right side
    133,690.50x = 84,352,852,269.14
  5. Step 5: Solve for x
    x = 84,352,852,269.14/133,690.50
  6. Step 6: Final answer
    x = 630,956.22

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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.