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Finding the Third Proportional to 357,939 and 771,948

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Solution

The third proportional to 357,939 and 771,948 is: 1,664,819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,939 : 771,948 = 771,948 : x
  2. Step 2: Convert to fraction form
    357,939/771,948 = 771,948/x
  3. Step 3: Cross multiply
    357,939x = 771,948 × 771,948
  4. Step 4: Simplify right side
    357,939x = 595,903,714,704
  5. Step 5: Solve for x
    x = 595,903,714,704/357,939
  6. Step 6: Final answer
    x = 1,664,819.19

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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.