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Finding the Third Proportional to 133,686.75 and 290,428.50

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Solution

The third proportional to 133,686.75 and 290,428.50 is: 630,942.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,686.75 : 290,428.50 = 290,428.50 : x
  2. Step 2: Convert to fraction form
    133,686.75/290,428.50 = 290,428.50/x
  3. Step 3: Cross multiply
    133,686.75x = 290,428.50 × 290,428.50
  4. Step 4: Simplify right side
    133,686.75x = 84,348,713,612.25
  5. Step 5: Solve for x
    x = 84,348,713,612.25/133,686.75
  6. Step 6: Final answer
    x = 630,942.96

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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.