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Finding the Third Proportional to 355,311 and 546,690

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Solution

The third proportional to 355,311 and 546,690 is: 841,150.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,311 : 546,690 = 546,690 : x
  2. Step 2: Convert to fraction form
    355,311/546,690 = 546,690/x
  3. Step 3: Cross multiply
    355,311x = 546,690 × 546,690
  4. Step 4: Simplify right side
    355,311x = 298,869,956,100
  5. Step 5: Solve for x
    x = 298,869,956,100/355,311
  6. Step 6: Final answer
    x = 841,150.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.