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Finding the Third Proportional to 211,254.75 and 455,685.75

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Solution

The third proportional to 211,254.75 and 455,685.75 is: 982,934.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,254.75 : 455,685.75 = 455,685.75 : x
  2. Step 2: Convert to fraction form
    211,254.75/455,685.75 = 455,685.75/x
  3. Step 3: Cross multiply
    211,254.75x = 455,685.75 × 455,685.75
  4. Step 4: Simplify right side
    211,254.75x = 207,649,502,753.06
  5. Step 5: Solve for x
    x = 207,649,502,753.06/211,254.75
  6. Step 6: Final answer
    x = 982,934.12

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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.