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Finding the Third Proportional to 211,128 and 457,488

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Solution

The third proportional to 211,128 and 457,488 is: 991,319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,128 : 457,488 = 457,488 : x
  2. Step 2: Convert to fraction form
    211,128/457,488 = 457,488/x
  3. Step 3: Cross multiply
    211,128x = 457,488 × 457,488
  4. Step 4: Simplify right side
    211,128x = 209,295,270,144
  5. Step 5: Solve for x
    x = 209,295,270,144/211,128
  6. Step 6: Final answer
    x = 991,319.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.