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Finding the Third Proportional to 353,151 and 513,316

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Solution

The third proportional to 353,151 and 513,316 is: 746,120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,151 : 513,316 = 513,316 : x
  2. Step 2: Convert to fraction form
    353,151/513,316 = 513,316/x
  3. Step 3: Cross multiply
    353,151x = 513,316 × 513,316
  4. Step 4: Simplify right side
    353,151x = 263,493,315,856
  5. Step 5: Solve for x
    x = 263,493,315,856/353,151
  6. Step 6: Final answer
    x = 746,120.83

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.