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Finding the Third Proportional to 40,786 and 64,891

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Solution

The third proportional to 40,786 and 64,891 is: 103,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,786 : 64,891 = 64,891 : x
  2. Step 2: Convert to fraction form
    40,786/64,891 = 64,891/x
  3. Step 3: Cross multiply
    40,786x = 64,891 × 64,891
  4. Step 4: Simplify right side
    40,786x = 4,210,841,881
  5. Step 5: Solve for x
    x = 4,210,841,881/40,786
  6. Step 6: Final answer
    x = 103,242.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.