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Finding the Third Proportional to 255,196 and 549,390

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Solution

The third proportional to 255,196 and 549,390 is: 1,182,735.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,196 : 549,390 = 549,390 : x
  2. Step 2: Convert to fraction form
    255,196/549,390 = 549,390/x
  3. Step 3: Cross multiply
    255,196x = 549,390 × 549,390
  4. Step 4: Simplify right side
    255,196x = 301,829,372,100
  5. Step 5: Solve for x
    x = 301,829,372,100/255,196
  6. Step 6: Final answer
    x = 1,182,735.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.