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Finding the Third Proportional to 39,770 and 53,819

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Solution

The third proportional to 39,770 and 53,819 is: 72,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,770 : 53,819 = 53,819 : x
  2. Step 2: Convert to fraction form
    39,770/53,819 = 53,819/x
  3. Step 3: Cross multiply
    39,770x = 53,819 × 53,819
  4. Step 4: Simplify right side
    39,770x = 2,896,484,761
  5. Step 5: Solve for x
    x = 2,896,484,761/39,770
  6. Step 6: Final answer
    x = 72,830.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.