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Finding the Third Proportional to 21,470 and 33,178

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Solution

The third proportional to 21,470 and 33,178 is: 51,270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,470 : 33,178 = 33,178 : x
  2. Step 2: Convert to fraction form
    21,470/33,178 = 33,178/x
  3. Step 3: Cross multiply
    21,470x = 33,178 × 33,178
  4. Step 4: Simplify right side
    21,470x = 1,100,779,684
  5. Step 5: Solve for x
    x = 1,100,779,684/21,470
  6. Step 6: Final answer
    x = 51,270.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.