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Finding the Third Proportional to 251,432 and 549,520

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Solution

The third proportional to 251,432 and 549,520 is: 1,201,009.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,432 : 549,520 = 549,520 : x
  2. Step 2: Convert to fraction form
    251,432/549,520 = 549,520/x
  3. Step 3: Cross multiply
    251,432x = 549,520 × 549,520
  4. Step 4: Simplify right side
    251,432x = 301,972,230,400
  5. Step 5: Solve for x
    x = 301,972,230,400/251,432
  6. Step 6: Final answer
    x = 1,201,009.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.