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Finding the Third Proportional to 144,447 and 211,320

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Solution

The third proportional to 144,447 and 211,320 is: 309,152.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,447 : 211,320 = 211,320 : x
  2. Step 2: Convert to fraction form
    144,447/211,320 = 211,320/x
  3. Step 3: Cross multiply
    144,447x = 211,320 × 211,320
  4. Step 4: Simplify right side
    144,447x = 44,656,142,400
  5. Step 5: Solve for x
    x = 44,656,142,400/144,447
  6. Step 6: Final answer
    x = 309,152.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.