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Finding the Third Proportional to 355,464 and 779,811

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Solution

The third proportional to 355,464 and 779,811 is: 1,710,736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,464 : 779,811 = 779,811 : x
  2. Step 2: Convert to fraction form
    355,464/779,811 = 779,811/x
  3. Step 3: Cross multiply
    355,464x = 779,811 × 779,811
  4. Step 4: Simplify right side
    355,464x = 608,105,195,721
  5. Step 5: Solve for x
    x = 608,105,195,721/355,464
  6. Step 6: Final answer
    x = 1,710,736.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.