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Finding the Third Proportional to 312,665 and 475,316

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Solution

The third proportional to 312,665 and 475,316 is: 722,579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,665 : 475,316 = 475,316 : x
  2. Step 2: Convert to fraction form
    312,665/475,316 = 475,316/x
  3. Step 3: Cross multiply
    312,665x = 475,316 × 475,316
  4. Step 4: Simplify right side
    312,665x = 225,925,299,856
  5. Step 5: Solve for x
    x = 225,925,299,856/312,665
  6. Step 6: Final answer
    x = 722,579.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.