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Finding the Third Proportional to 280,812 and 616,056

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Solution

The third proportional to 280,812 and 616,056 is: 1,351,526.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,812 : 616,056 = 616,056 : x
  2. Step 2: Convert to fraction form
    280,812/616,056 = 616,056/x
  3. Step 3: Cross multiply
    280,812x = 616,056 × 616,056
  4. Step 4: Simplify right side
    280,812x = 379,524,995,136
  5. Step 5: Solve for x
    x = 379,524,995,136/280,812
  6. Step 6: Final answer
    x = 1,351,526.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.