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Finding the Third Proportional to 10,021 and 21,430

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Solution

The third proportional to 10,021 and 21,430 is: 45,828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021 : 21,430 = 21,430 : x
  2. Step 2: Convert to fraction form
    10,021/21,430 = 21,430/x
  3. Step 3: Cross multiply
    10,021x = 21,430 × 21,430
  4. Step 4: Simplify right side
    10,021x = 459,244,900
  5. Step 5: Solve for x
    x = 459,244,900/10,021
  6. Step 6: Final answer
    x = 45,828.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.