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Finding the Third Proportional to 357,913 and 771,868

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Solution

The third proportional to 357,913 and 771,868 is: 1,664,595.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,913 : 771,868 = 771,868 : x
  2. Step 2: Convert to fraction form
    357,913/771,868 = 771,868/x
  3. Step 3: Cross multiply
    357,913x = 771,868 × 771,868
  4. Step 4: Simplify right side
    357,913x = 595,780,209,424
  5. Step 5: Solve for x
    x = 595,780,209,424/357,913
  6. Step 6: Final answer
    x = 1,664,595.05

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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.