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Finding the Third Proportional to 328,328 and 707,316

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Solution

The third proportional to 328,328 and 707,316 is: 1,523,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,328 : 707,316 = 707,316 : x
  2. Step 2: Convert to fraction form
    328,328/707,316 = 707,316/x
  3. Step 3: Cross multiply
    328,328x = 707,316 × 707,316
  4. Step 4: Simplify right side
    328,328x = 500,295,923,856
  5. Step 5: Solve for x
    x = 500,295,923,856/328,328
  6. Step 6: Final answer
    x = 1,523,768.68

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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.