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Finding the Third Proportional to 355,462 and 779,806

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Solution

The third proportional to 355,462 and 779,806 is: 1,710,724.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,462 : 779,806 = 779,806 : x
  2. Step 2: Convert to fraction form
    355,462/779,806 = 779,806/x
  3. Step 3: Cross multiply
    355,462x = 779,806 × 779,806
  4. Step 4: Simplify right side
    355,462x = 608,097,397,636
  5. Step 5: Solve for x
    x = 608,097,397,636/355,462
  6. Step 6: Final answer
    x = 1,710,724.07

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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.