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Finding the Third Proportional to 20,998 and 45,686

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Solution

The third proportional to 20,998 and 45,686 is: 99,400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998 : 45,686 = 45,686 : x
  2. Step 2: Convert to fraction form
    20,998/45,686 = 45,686/x
  3. Step 3: Cross multiply
    20,998x = 45,686 × 45,686
  4. Step 4: Simplify right side
    20,998x = 2,087,210,596
  5. Step 5: Solve for x
    x = 2,087,210,596/20,998
  6. Step 6: Final answer
    x = 99,400.45

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1.5x scale

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.