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Finding the Third Proportional to 355,470 and 769,989

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Solution

The third proportional to 355,470 and 769,989 is: 1,667,884.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,470 : 769,989 = 769,989 : x
  2. Step 2: Convert to fraction form
    355,470/769,989 = 769,989/x
  3. Step 3: Cross multiply
    355,470x = 769,989 × 769,989
  4. Step 4: Simplify right side
    355,470x = 592,883,060,121
  5. Step 5: Solve for x
    x = 592,883,060,121/355,470
  6. Step 6: Final answer
    x = 1,667,884.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.