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Finding the Third Proportional to 190,902.75 and 431,308.88

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Solution

The third proportional to 190,902.75 and 431,308.88 is: 974,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,902.75 : 431,308.88 = 431,308.88 : x
  2. Step 2: Convert to fraction form
    190,902.75/431,308.88 = 431,308.88/x
  3. Step 3: Cross multiply
    190,902.75x = 431,308.88 × 431,308.88
  4. Step 4: Simplify right side
    190,902.75x = 186,027,345,653.77
  5. Step 5: Solve for x
    x = 186,027,345,653.77/190,902.75
  6. Step 6: Final answer
    x = 974,461.32

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.