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Finding the Third Proportional to 19,618 and 29,939

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Solution

The third proportional to 19,618 and 29,939 is: 45,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,618 : 29,939 = 29,939 : x
  2. Step 2: Convert to fraction form
    19,618/29,939 = 29,939/x
  3. Step 3: Cross multiply
    19,618x = 29,939 × 29,939
  4. Step 4: Simplify right side
    19,618x = 896,343,721
  5. Step 5: Solve for x
    x = 896,343,721/19,618
  6. Step 6: Final answer
    x = 45,689.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.