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Finding the Third Proportional to 155,548 and 211,069

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Solution

The third proportional to 155,548 and 211,069 is: 286,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,548 : 211,069 = 211,069 : x
  2. Step 2: Convert to fraction form
    155,548/211,069 = 211,069/x
  3. Step 3: Cross multiply
    155,548x = 211,069 × 211,069
  4. Step 4: Simplify right side
    155,548x = 44,550,122,761
  5. Step 5: Solve for x
    x = 44,550,122,761/155,548
  6. Step 6: Final answer
    x = 286,407.56

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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.