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Finding the Third Proportional to 254,820 and 549,288

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Solution

The third proportional to 254,820 and 549,288 is: 1,184,040.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,820 : 549,288 = 549,288 : x
  2. Step 2: Convert to fraction form
    254,820/549,288 = 549,288/x
  3. Step 3: Cross multiply
    254,820x = 549,288 × 549,288
  4. Step 4: Simplify right side
    254,820x = 301,717,306,944
  5. Step 5: Solve for x
    x = 301,717,306,944/254,820
  6. Step 6: Final answer
    x = 1,184,040.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.