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Finding the Third Proportional to 613,980 and 881,442

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Solution

The third proportional to 613,980 and 881,442 is: 1,265,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,980 : 881,442 = 881,442 : x
  2. Step 2: Convert to fraction form
    613,980/881,442 = 881,442/x
  3. Step 3: Cross multiply
    613,980x = 881,442 × 881,442
  4. Step 4: Simplify right side
    613,980x = 776,939,999,364
  5. Step 5: Solve for x
    x = 776,939,999,364/613,980
  6. Step 6: Final answer
    x = 1,265,415.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.