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Finding the Third Proportional to 21,125 and 45,513

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Solution

The third proportional to 21,125 and 45,513 is: 98,056.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,125 : 45,513 = 45,513 : x
  2. Step 2: Convert to fraction form
    21,125/45,513 = 45,513/x
  3. Step 3: Cross multiply
    21,125x = 45,513 × 45,513
  4. Step 4: Simplify right side
    21,125x = 2,071,433,169
  5. Step 5: Solve for x
    x = 2,071,433,169/21,125
  6. Step 6: Final answer
    x = 98,056.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.