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Finding the Third Proportional to 140,256 and 210,348

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Solution

The third proportional to 140,256 and 210,348 is: 315,468.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,256 : 210,348 = 210,348 : x
  2. Step 2: Convert to fraction form
    140,256/210,348 = 210,348/x
  3. Step 3: Cross multiply
    140,256x = 210,348 × 210,348
  4. Step 4: Simplify right side
    140,256x = 44,246,281,104
  5. Step 5: Solve for x
    x = 44,246,281,104/140,256
  6. Step 6: Final answer
    x = 315,468.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.