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Finding the Third Proportional to 21,032 and 45,328

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Solution

The third proportional to 21,032 and 45,328 is: 97,690.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,032 : 45,328 = 45,328 : x
  2. Step 2: Convert to fraction form
    21,032/45,328 = 45,328/x
  3. Step 3: Cross multiply
    21,032x = 45,328 × 45,328
  4. Step 4: Simplify right side
    21,032x = 2,054,627,584
  5. Step 5: Solve for x
    x = 2,054,627,584/21,032
  6. Step 6: Final answer
    x = 97,690.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.