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Finding the Third Proportional to 268,870 and 585,157

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Solution

The third proportional to 268,870 and 585,157 is: 1,273,510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,870 : 585,157 = 585,157 : x
  2. Step 2: Convert to fraction form
    268,870/585,157 = 585,157/x
  3. Step 3: Cross multiply
    268,870x = 585,157 × 585,157
  4. Step 4: Simplify right side
    268,870x = 342,408,714,649
  5. Step 5: Solve for x
    x = 342,408,714,649/268,870
  6. Step 6: Final answer
    x = 1,273,510.30

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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.