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Finding the Third Proportional to 155,513 and 211,018

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Solution

The third proportional to 155,513 and 211,018 is: 286,333.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,513 : 211,018 = 211,018 : x
  2. Step 2: Convert to fraction form
    155,513/211,018 = 211,018/x
  3. Step 3: Cross multiply
    155,513x = 211,018 × 211,018
  4. Step 4: Simplify right side
    155,513x = 44,528,596,324
  5. Step 5: Solve for x
    x = 44,528,596,324/155,513
  6. Step 6: Final answer
    x = 286,333.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.