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Finding the Third Proportional to 357,645 and 776,799

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Solution

The third proportional to 357,645 and 776,799 is: 1,687,194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,645 : 776,799 = 776,799 : x
  2. Step 2: Convert to fraction form
    357,645/776,799 = 776,799/x
  3. Step 3: Cross multiply
    357,645x = 776,799 × 776,799
  4. Step 4: Simplify right side
    357,645x = 603,416,686,401
  5. Step 5: Solve for x
    x = 603,416,686,401/357,645
  6. Step 6: Final answer
    x = 1,687,194.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.