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Finding the Third Proportional to 211,320 and 313,488

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Solution

The third proportional to 211,320 and 313,488 is: 465,051.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,320 : 313,488 = 313,488 : x
  2. Step 2: Convert to fraction form
    211,320/313,488 = 313,488/x
  3. Step 3: Cross multiply
    211,320x = 313,488 × 313,488
  4. Step 4: Simplify right side
    211,320x = 98,274,726,144
  5. Step 5: Solve for x
    x = 98,274,726,144/211,320
  6. Step 6: Final answer
    x = 465,051.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.