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Finding the Third Proportional to 359,856 and 512,622

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Solution

The third proportional to 359,856 and 512,622 is: 730,240.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,856 : 512,622 = 512,622 : x
  2. Step 2: Convert to fraction form
    359,856/512,622 = 512,622/x
  3. Step 3: Cross multiply
    359,856x = 512,622 × 512,622
  4. Step 4: Simplify right side
    359,856x = 262,781,314,884
  5. Step 5: Solve for x
    x = 262,781,314,884/359,856
  6. Step 6: Final answer
    x = 730,240.19

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.