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Finding the Third Proportional to 90,130 and 208,644

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Solution

The third proportional to 90,130 and 208,644 is: 482,994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,130 : 208,644 = 208,644 : x
  2. Step 2: Convert to fraction form
    90,130/208,644 = 208,644/x
  3. Step 3: Cross multiply
    90,130x = 208,644 × 208,644
  4. Step 4: Simplify right side
    90,130x = 43,532,318,736
  5. Step 5: Solve for x
    x = 43,532,318,736/90,130
  6. Step 6: Final answer
    x = 482,994.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.