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Finding the Third Proportional to 211,355 and 309,255

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Solution

The third proportional to 211,355 and 309,255 is: 452,502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,355 : 309,255 = 309,255 : x
  2. Step 2: Convert to fraction form
    211,355/309,255 = 309,255/x
  3. Step 3: Cross multiply
    211,355x = 309,255 × 309,255
  4. Step 4: Simplify right side
    211,355x = 95,638,655,025
  5. Step 5: Solve for x
    x = 95,638,655,025/211,355
  6. Step 6: Final answer
    x = 452,502.45

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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.