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Finding the Third Proportional to 280,912 and 456,370

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Solution

The third proportional to 280,912 and 456,370 is: 741,419.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,912 : 456,370 = 456,370 : x
  2. Step 2: Convert to fraction form
    280,912/456,370 = 456,370/x
  3. Step 3: Cross multiply
    280,912x = 456,370 × 456,370
  4. Step 4: Simplify right side
    280,912x = 208,273,576,900
  5. Step 5: Solve for x
    x = 208,273,576,900/280,912
  6. Step 6: Final answer
    x = 741,419.29

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.