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Finding the Third Proportional to 211,478 and 455,968

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Solution

The third proportional to 211,478 and 455,968 is: 983,113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,478 : 455,968 = 455,968 : x
  2. Step 2: Convert to fraction form
    211,478/455,968 = 455,968/x
  3. Step 3: Cross multiply
    211,478x = 455,968 × 455,968
  4. Step 4: Simplify right side
    211,478x = 207,906,817,024
  5. Step 5: Solve for x
    x = 207,906,817,024/211,478
  6. Step 6: Final answer
    x = 983,113.22

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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.