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Finding the Third Proportional to 281,257 and 607,412

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Solution

The third proportional to 281,257 and 607,412 is: 1,311,787.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,257 : 607,412 = 607,412 : x
  2. Step 2: Convert to fraction form
    281,257/607,412 = 607,412/x
  3. Step 3: Cross multiply
    281,257x = 607,412 × 607,412
  4. Step 4: Simplify right side
    281,257x = 368,949,337,744
  5. Step 5: Solve for x
    x = 368,949,337,744/281,257
  6. Step 6: Final answer
    x = 1,311,787.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.