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Finding the Third Proportional to 21,258 and 46,808

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Solution

The third proportional to 21,258 and 46,808 is: 103,066.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,258 : 46,808 = 46,808 : x
  2. Step 2: Convert to fraction form
    21,258/46,808 = 46,808/x
  3. Step 3: Cross multiply
    21,258x = 46,808 × 46,808
  4. Step 4: Simplify right side
    21,258x = 2,190,988,864
  5. Step 5: Solve for x
    x = 2,190,988,864/21,258
  6. Step 6: Final answer
    x = 103,066.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.