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Finding the Third Proportional to 197,572 and 426,020

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Solution

The third proportional to 197,572 and 426,020 is: 918,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,572 : 426,020 = 426,020 : x
  2. Step 2: Convert to fraction form
    197,572/426,020 = 426,020/x
  3. Step 3: Cross multiply
    197,572x = 426,020 × 426,020
  4. Step 4: Simplify right side
    197,572x = 181,493,040,400
  5. Step 5: Solve for x
    x = 181,493,040,400/197,572
  6. Step 6: Final answer
    x = 918,617.21

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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.