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Finding the Third Proportional to 488,972 and 778,049

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Solution

The third proportional to 488,972 and 778,049 is: 1,238,026.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,972 : 778,049 = 778,049 : x
  2. Step 2: Convert to fraction form
    488,972/778,049 = 778,049/x
  3. Step 3: Cross multiply
    488,972x = 778,049 × 778,049
  4. Step 4: Simplify right side
    488,972x = 605,360,246,401
  5. Step 5: Solve for x
    x = 605,360,246,401/488,972
  6. Step 6: Final answer
    x = 1,238,026.40

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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.