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Finding the Third Proportional to 355,365 and 777,158

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Solution

The third proportional to 355,365 and 777,158 is: 1,699,589.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,365 : 777,158 = 777,158 : x
  2. Step 2: Convert to fraction form
    355,365/777,158 = 777,158/x
  3. Step 3: Cross multiply
    355,365x = 777,158 × 777,158
  4. Step 4: Simplify right side
    355,365x = 603,974,556,964
  5. Step 5: Solve for x
    x = 603,974,556,964/355,365
  6. Step 6: Final answer
    x = 1,699,589.32

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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.