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Finding the Third Proportional to 90,126.56 and 208,637.16

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Solution

The third proportional to 90,126.56 and 208,637.16 is: 482,981.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,126.56 : 208,637.16 = 208,637.16 : x
  2. Step 2: Convert to fraction form
    90,126.56/208,637.16 = 208,637.16/x
  3. Step 3: Cross multiply
    90,126.56x = 208,637.16 × 208,637.16
  4. Step 4: Simplify right side
    90,126.56x = 43,529,462,968.09
  5. Step 5: Solve for x
    x = 43,529,462,968.09/90,126.56
  6. Step 6: Final answer
    x = 482,981.51

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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.