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Finding the Third Proportional to 30,723 and 45,891

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Solution

The third proportional to 30,723 and 45,891 is: 68,547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,723 : 45,891 = 45,891 : x
  2. Step 2: Convert to fraction form
    30,723/45,891 = 45,891/x
  3. Step 3: Cross multiply
    30,723x = 45,891 × 45,891
  4. Step 4: Simplify right side
    30,723x = 2,105,983,881
  5. Step 5: Solve for x
    x = 2,105,983,881/30,723
  6. Step 6: Final answer
    x = 68,547.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.