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Finding the Third Proportional to 275,280 and 407,803

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Solution

The third proportional to 275,280 and 407,803 is: 604,124.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,280 : 407,803 = 407,803 : x
  2. Step 2: Convert to fraction form
    275,280/407,803 = 407,803/x
  3. Step 3: Cross multiply
    275,280x = 407,803 × 407,803
  4. Step 4: Simplify right side
    275,280x = 166,303,286,809
  5. Step 5: Solve for x
    x = 166,303,286,809/275,280
  6. Step 6: Final answer
    x = 604,124.12

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.