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Finding the Third Proportional to 255,153 and 549,307

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Solution

The third proportional to 255,153 and 549,307 is: 1,182,577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,153 : 549,307 = 549,307 : x
  2. Step 2: Convert to fraction form
    255,153/549,307 = 549,307/x
  3. Step 3: Cross multiply
    255,153x = 549,307 × 549,307
  4. Step 4: Simplify right side
    255,153x = 301,738,180,249
  5. Step 5: Solve for x
    x = 301,738,180,249/255,153
  6. Step 6: Final answer
    x = 1,182,577.43

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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.