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Finding the Third Proportional to 355,476 and 769,998

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Solution

The third proportional to 355,476 and 769,998 is: 1,667,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,476 : 769,998 = 769,998 : x
  2. Step 2: Convert to fraction form
    355,476/769,998 = 769,998/x
  3. Step 3: Cross multiply
    355,476x = 769,998 × 769,998
  4. Step 4: Simplify right side
    355,476x = 592,896,920,004
  5. Step 5: Solve for x
    x = 592,896,920,004/355,476
  6. Step 6: Final answer
    x = 1,667,895.78

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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.