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Finding the Third Proportional to 488,956 and 778,024

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Solution

The third proportional to 488,956 and 778,024 is: 1,237,987.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,956 : 778,024 = 778,024 : x
  2. Step 2: Convert to fraction form
    488,956/778,024 = 778,024/x
  3. Step 3: Cross multiply
    488,956x = 778,024 × 778,024
  4. Step 4: Simplify right side
    488,956x = 605,321,344,576
  5. Step 5: Solve for x
    x = 605,321,344,576/488,956
  6. Step 6: Final answer
    x = 1,237,987.35

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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.