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Finding the Third Proportional to 355,650 and 550,515

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Solution

The third proportional to 355,650 and 550,515 is: 852,148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,650 : 550,515 = 550,515 : x
  2. Step 2: Convert to fraction form
    355,650/550,515 = 550,515/x
  3. Step 3: Cross multiply
    355,650x = 550,515 × 550,515
  4. Step 4: Simplify right side
    355,650x = 303,066,765,225
  5. Step 5: Solve for x
    x = 303,066,765,225/355,650
  6. Step 6: Final answer
    x = 852,148.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.