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Finding the Third Proportional to 9,090 and 19,701

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Solution

The third proportional to 9,090 and 19,701 is: 42,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090 : 19,701 = 19,701 : x
  2. Step 2: Convert to fraction form
    9,090/19,701 = 19,701/x
  3. Step 3: Cross multiply
    9,090x = 19,701 × 19,701
  4. Step 4: Simplify right side
    9,090x = 388,129,401
  5. Step 5: Solve for x
    x = 388,129,401/9,090
  6. Step 6: Final answer
    x = 42,698.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.