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Finding the Third Proportional to 342,817 and 738,316

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Solution

The third proportional to 342,817 and 738,316 is: 1,590,091.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,817 : 738,316 = 738,316 : x
  2. Step 2: Convert to fraction form
    342,817/738,316 = 738,316/x
  3. Step 3: Cross multiply
    342,817x = 738,316 × 738,316
  4. Step 4: Simplify right side
    342,817x = 545,110,515,856
  5. Step 5: Solve for x
    x = 545,110,515,856/342,817
  6. Step 6: Final answer
    x = 1,590,091.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.