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Finding the Third Proportional to 357,841 and 771,729

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Solution

The third proportional to 357,841 and 771,729 is: 1,664,330.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,841 : 771,729 = 771,729 : x
  2. Step 2: Convert to fraction form
    357,841/771,729 = 771,729/x
  3. Step 3: Cross multiply
    357,841x = 771,729 × 771,729
  4. Step 4: Simplify right side
    357,841x = 595,565,649,441
  5. Step 5: Solve for x
    x = 595,565,649,441/357,841
  6. Step 6: Final answer
    x = 1,664,330.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.