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Finding the Third Proportional to 255,336 and 549,120

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Solution

The third proportional to 255,336 and 549,120 is: 1,180,925.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,336 : 549,120 = 549,120 : x
  2. Step 2: Convert to fraction form
    255,336/549,120 = 549,120/x
  3. Step 3: Cross multiply
    255,336x = 549,120 × 549,120
  4. Step 4: Simplify right side
    255,336x = 301,532,774,400
  5. Step 5: Solve for x
    x = 301,532,774,400/255,336
  6. Step 6: Final answer
    x = 1,180,925.43

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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.