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Finding the Third Proportional to 197,439.75 and 426,401.25

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Solution

The third proportional to 197,439.75 and 426,401.25 is: 920,878.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,439.75 : 426,401.25 = 426,401.25 : x
  2. Step 2: Convert to fraction form
    197,439.75/426,401.25 = 426,401.25/x
  3. Step 3: Cross multiply
    197,439.75x = 426,401.25 × 426,401.25
  4. Step 4: Simplify right side
    197,439.75x = 181,818,026,001.56
  5. Step 5: Solve for x
    x = 181,818,026,001.56/197,439.75
  6. Step 6: Final answer
    x = 920,878.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.