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Finding the Third Proportional to 131,965.88 and 290,174.06

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Solution

The third proportional to 131,965.88 and 290,174.06 is: 638,051.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,965.88 : 290,174.06 = 290,174.06 : x
  2. Step 2: Convert to fraction form
    131,965.88/290,174.06 = 290,174.06/x
  3. Step 3: Cross multiply
    131,965.88x = 290,174.06 × 290,174.06
  4. Step 4: Simplify right side
    131,965.88x = 84,200,986,547.75
  5. Step 5: Solve for x
    x = 84,200,986,547.75/131,965.88
  6. Step 6: Final answer
    x = 638,051.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.