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Finding the Third Proportional to 488,978 and 778,017

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Solution

The third proportional to 488,978 and 778,017 is: 1,237,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,978 : 778,017 = 778,017 : x
  2. Step 2: Convert to fraction form
    488,978/778,017 = 778,017/x
  3. Step 3: Cross multiply
    488,978x = 778,017 × 778,017
  4. Step 4: Simplify right side
    488,978x = 605,310,452,289
  5. Step 5: Solve for x
    x = 605,310,452,289/488,978
  6. Step 6: Final answer
    x = 1,237,909.38

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