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Finding the Third Proportional to 90,681 and 197,424

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Solution

The third proportional to 90,681 and 197,424 is: 429,817.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,681 : 197,424 = 197,424 : x
  2. Step 2: Convert to fraction form
    90,681/197,424 = 197,424/x
  3. Step 3: Cross multiply
    90,681x = 197,424 × 197,424
  4. Step 4: Simplify right side
    90,681x = 38,976,235,776
  5. Step 5: Solve for x
    x = 38,976,235,776/90,681
  6. Step 6: Final answer
    x = 429,817.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.