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Finding the Third Proportional to 252,155 and 546,336

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Solution

The third proportional to 252,155 and 546,336 is: 1,183,728.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,155 : 546,336 = 546,336 : x
  2. Step 2: Convert to fraction form
    252,155/546,336 = 546,336/x
  3. Step 3: Cross multiply
    252,155x = 546,336 × 546,336
  4. Step 4: Simplify right side
    252,155x = 298,483,024,896
  5. Step 5: Solve for x
    x = 298,483,024,896/252,155
  6. Step 6: Final answer
    x = 1,183,728.36

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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.