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Finding the Third Proportional to 133,502 and 290,084

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Solution

The third proportional to 133,502 and 290,084 is: 630,318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,502 : 290,084 = 290,084 : x
  2. Step 2: Convert to fraction form
    133,502/290,084 = 290,084/x
  3. Step 3: Cross multiply
    133,502x = 290,084 × 290,084
  4. Step 4: Simplify right side
    133,502x = 84,148,727,056
  5. Step 5: Solve for x
    x = 84,148,727,056/133,502
  6. Step 6: Final answer
    x = 630,318.10

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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.