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Finding the Third Proportional to 252,158.50 and 546,343

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Solution

The third proportional to 252,158.50 and 546,343 is: 1,183,742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,158.50 : 546,343 = 546,343 : x
  2. Step 2: Convert to fraction form
    252,158.50/546,343 = 546,343/x
  3. Step 3: Cross multiply
    252,158.50x = 546,343 × 546,343
  4. Step 4: Simplify right side
    252,158.50x = 298,490,673,649
  5. Step 5: Solve for x
    x = 298,490,673,649/252,158.50
  6. Step 6: Final answer
    x = 1,183,742.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.