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Finding the Third Proportional to 210,411 and 455,814

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Solution

The third proportional to 210,411 and 455,814 is: 987,431.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,411 : 455,814 = 455,814 : x
  2. Step 2: Convert to fraction form
    210,411/455,814 = 455,814/x
  3. Step 3: Cross multiply
    210,411x = 455,814 × 455,814
  4. Step 4: Simplify right side
    210,411x = 207,766,402,596
  5. Step 5: Solve for x
    x = 207,766,402,596/210,411
  6. Step 6: Final answer
    x = 987,431.28

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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.