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Finding the Third Proportional to 29,770 and 40,820

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Solution

The third proportional to 29,770 and 40,820 is: 55,971.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,770 : 40,820 = 40,820 : x
  2. Step 2: Convert to fraction form
    29,770/40,820 = 40,820/x
  3. Step 3: Cross multiply
    29,770x = 40,820 × 40,820
  4. Step 4: Simplify right side
    29,770x = 1,666,272,400
  5. Step 5: Solve for x
    x = 1,666,272,400/29,770
  6. Step 6: Final answer
    x = 55,971.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.