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Finding the Third Proportional to 309,600 and 632,316

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Solution

The third proportional to 309,600 and 632,316 is: 1,291,419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,600 : 632,316 = 632,316 : x
  2. Step 2: Convert to fraction form
    309,600/632,316 = 632,316/x
  3. Step 3: Cross multiply
    309,600x = 632,316 × 632,316
  4. Step 4: Simplify right side
    309,600x = 399,823,523,856
  5. Step 5: Solve for x
    x = 399,823,523,856/309,600
  6. Step 6: Final answer
    x = 1,291,419.65

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.