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Finding the Third Proportional to 354,942 and 775,386

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Solution

The third proportional to 354,942 and 775,386 is: 1,693,863.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,942 : 775,386 = 775,386 : x
  2. Step 2: Convert to fraction form
    354,942/775,386 = 775,386/x
  3. Step 3: Cross multiply
    354,942x = 775,386 × 775,386
  4. Step 4: Simplify right side
    354,942x = 601,223,448,996
  5. Step 5: Solve for x
    x = 601,223,448,996/354,942
  6. Step 6: Final answer
    x = 1,693,863.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.