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Finding the Third Proportional to 355,623 and 775,155

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Solution

The third proportional to 355,623 and 775,155 is: 1,689,613.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,623 : 775,155 = 775,155 : x
  2. Step 2: Convert to fraction form
    355,623/775,155 = 775,155/x
  3. Step 3: Cross multiply
    355,623x = 775,155 × 775,155
  4. Step 4: Simplify right side
    355,623x = 600,865,274,025
  5. Step 5: Solve for x
    x = 600,865,274,025/355,623
  6. Step 6: Final answer
    x = 1,689,613.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.