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Finding the Third Proportional to 208,510 and 446,544

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Solution

The third proportional to 208,510 and 446,544 is: 956,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,510 : 446,544 = 446,544 : x
  2. Step 2: Convert to fraction form
    208,510/446,544 = 446,544/x
  3. Step 3: Cross multiply
    208,510x = 446,544 × 446,544
  4. Step 4: Simplify right side
    208,510x = 199,401,543,936
  5. Step 5: Solve for x
    x = 199,401,543,936/208,510
  6. Step 6: Final answer
    x = 956,316.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.