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Finding the Third Proportional to 18,770 and 31,070

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Solution

The third proportional to 18,770 and 31,070 is: 51,430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,770 : 31,070 = 31,070 : x
  2. Step 2: Convert to fraction form
    18,770/31,070 = 31,070/x
  3. Step 3: Cross multiply
    18,770x = 31,070 × 31,070
  4. Step 4: Simplify right side
    18,770x = 965,344,900
  5. Step 5: Solve for x
    x = 965,344,900/18,770
  6. Step 6: Final answer
    x = 51,430.20

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.