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Finding the Third Proportional to 211,286 and 460,480

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Solution

The third proportional to 211,286 and 460,480 is: 1,003,577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,286 : 460,480 = 460,480 : x
  2. Step 2: Convert to fraction form
    211,286/460,480 = 460,480/x
  3. Step 3: Cross multiply
    211,286x = 460,480 × 460,480
  4. Step 4: Simplify right side
    211,286x = 212,041,830,400
  5. Step 5: Solve for x
    x = 212,041,830,400/211,286
  6. Step 6: Final answer
    x = 1,003,577.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.