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Finding the Third Proportional to 211,290 and 460,488

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Solution

The third proportional to 211,290 and 460,488 is: 1,003,593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,290 : 460,488 = 460,488 : x
  2. Step 2: Convert to fraction form
    211,290/460,488 = 460,488/x
  3. Step 3: Cross multiply
    211,290x = 460,488 × 460,488
  4. Step 4: Simplify right side
    211,290x = 212,049,198,144
  5. Step 5: Solve for x
    x = 212,049,198,144/211,290
  6. Step 6: Final answer
    x = 1,003,593.16

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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.