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Finding the Third Proportional to 210,706 and 455,086

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Solution

The third proportional to 210,706 and 455,086 is: 982,901.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,706 : 455,086 = 455,086 : x
  2. Step 2: Convert to fraction form
    210,706/455,086 = 455,086/x
  3. Step 3: Cross multiply
    210,706x = 455,086 × 455,086
  4. Step 4: Simplify right side
    210,706x = 207,103,267,396
  5. Step 5: Solve for x
    x = 207,103,267,396/210,706
  6. Step 6: Final answer
    x = 982,901.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.