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Finding the Third Proportional to 265,864 and 583,390

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Solution

The third proportional to 265,864 and 583,390 is: 1,280,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,864 : 583,390 = 583,390 : x
  2. Step 2: Convert to fraction form
    265,864/583,390 = 583,390/x
  3. Step 3: Cross multiply
    265,864x = 583,390 × 583,390
  4. Step 4: Simplify right side
    265,864x = 340,343,892,100
  5. Step 5: Solve for x
    x = 340,343,892,100/265,864
  6. Step 6: Final answer
    x = 1,280,142.83

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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.