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Finding the Third Proportional to 357,936 and 771,942

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Solution

The third proportional to 357,936 and 771,942 is: 1,664,807.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,936 : 771,942 = 771,942 : x
  2. Step 2: Convert to fraction form
    357,936/771,942 = 771,942/x
  3. Step 3: Cross multiply
    357,936x = 771,942 × 771,942
  4. Step 4: Simplify right side
    357,936x = 595,894,451,364
  5. Step 5: Solve for x
    x = 595,894,451,364/357,936
  6. Step 6: Final answer
    x = 1,664,807.26

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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.