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Finding the Third Proportional to 210,792 and 456,855

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Solution

The third proportional to 210,792 and 456,855 is: 990,153.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,792 : 456,855 = 456,855 : x
  2. Step 2: Convert to fraction form
    210,792/456,855 = 456,855/x
  3. Step 3: Cross multiply
    210,792x = 456,855 × 456,855
  4. Step 4: Simplify right side
    210,792x = 208,716,491,025
  5. Step 5: Solve for x
    x = 208,716,491,025/210,792
  6. Step 6: Final answer
    x = 990,153.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.