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Finding the Third Proportional to 280,490 and 612,380

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Solution

The third proportional to 280,490 and 612,380 is: 1,336,979.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,490 : 612,380 = 612,380 : x
  2. Step 2: Convert to fraction form
    280,490/612,380 = 612,380/x
  3. Step 3: Cross multiply
    280,490x = 612,380 × 612,380
  4. Step 4: Simplify right side
    280,490x = 375,009,264,400
  5. Step 5: Solve for x
    x = 375,009,264,400/280,490
  6. Step 6: Final answer
    x = 1,336,979.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.