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Finding the Third Proportional to 21,920.63 and 53,001.84

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Solution

The third proportional to 21,920.63 and 53,001.84 is: 128,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,920.63 : 53,001.84 = 53,001.84 : x
  2. Step 2: Convert to fraction form
    21,920.63/53,001.84 = 53,001.84/x
  3. Step 3: Cross multiply
    21,920.63x = 53,001.84 × 53,001.84
  4. Step 4: Simplify right side
    21,920.63x = 2,809,195,440.90
  5. Step 5: Solve for x
    x = 2,809,195,440.90/21,920.63
  6. Step 6: Final answer
    x = 128,153.07

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.