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Finding the Third Proportional to 666,164.25 and 987,764.63

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Solution

The third proportional to 666,164.25 and 987,764.63 is: 1,464,622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,164.25 : 987,764.63 = 987,764.63 : x
  2. Step 2: Convert to fraction form
    666,164.25/987,764.63 = 987,764.63/x
  3. Step 3: Cross multiply
    666,164.25x = 987,764.63 × 987,764.63
  4. Step 4: Simplify right side
    666,164.25x = 975,678,954,401.39
  5. Step 5: Solve for x
    x = 975,678,954,401.39/666,164.25
  6. Step 6: Final answer
    x = 1,464,622.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.