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Finding the Third Proportional to 488,950 and 777,973

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Solution

The third proportional to 488,950 and 777,973 is: 1,237,840.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,950 : 777,973 = 777,973 : x
  2. Step 2: Convert to fraction form
    488,950/777,973 = 777,973/x
  3. Step 3: Cross multiply
    488,950x = 777,973 × 777,973
  4. Step 4: Simplify right side
    488,950x = 605,241,988,729
  5. Step 5: Solve for x
    x = 605,241,988,729/488,950
  6. Step 6: Final answer
    x = 1,237,840.25

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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.