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Finding the Third Proportional to 518,467 and 1,078,319

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Solution

The third proportional to 518,467 and 1,078,319 is: 2,242,711.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,467 : 1,078,319 = 1,078,319 : x
  2. Step 2: Convert to fraction form
    518,467/1,078,319 = 1,078,319/x
  3. Step 3: Cross multiply
    518,467x = 1,078,319 × 1,078,319
  4. Step 4: Simplify right side
    518,467x = 1,162,771,865,761
  5. Step 5: Solve for x
    x = 1,162,771,865,761/518,467
  6. Step 6: Final answer
    x = 2,242,711.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.