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Finding the Third Proportional to 1,770 and 1,842

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Solution

The third proportional to 1,770 and 1,842 is: 1,916.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770 : 1,842 = 1,842 : x
  2. Step 2: Convert to fraction form
    1,770/1,842 = 1,842/x
  3. Step 3: Cross multiply
    1,770x = 1,842 × 1,842
  4. Step 4: Simplify right side
    1,770x = 3,392,964
  5. Step 5: Solve for x
    x = 3,392,964/1,770
  6. Step 6: Final answer
    x = 1,916.93

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.