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Finding the Third Proportional to 20,501.58 and 33,477.47

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Solution

The third proportional to 20,501.58 and 33,477.47 is: 54,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,501.58 : 33,477.47 = 33,477.47 : x
  2. Step 2: Convert to fraction form
    20,501.58/33,477.47 = 33,477.47/x
  3. Step 3: Cross multiply
    20,501.58x = 33,477.47 × 33,477.47
  4. Step 4: Simplify right side
    20,501.58x = 1,120,740,913.91
  5. Step 5: Solve for x
    x = 1,120,740,913.91/20,501.58
  6. Step 6: Final answer
    x = 54,666.08

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.