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Finding the Third Proportional to 280,242 and 580,428

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Solution

The third proportional to 280,242 and 580,428 is: 1,202,163.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,242 : 580,428 = 580,428 : x
  2. Step 2: Convert to fraction form
    280,242/580,428 = 580,428/x
  3. Step 3: Cross multiply
    280,242x = 580,428 × 580,428
  4. Step 4: Simplify right side
    280,242x = 336,896,663,184
  5. Step 5: Solve for x
    x = 336,896,663,184/280,242
  6. Step 6: Final answer
    x = 1,202,163.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.