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Finding the Third Proportional to 310,878 and 687,103

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Solution

The third proportional to 310,878 and 687,103 is: 1,518,636.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,878 : 687,103 = 687,103 : x
  2. Step 2: Convert to fraction form
    310,878/687,103 = 687,103/x
  3. Step 3: Cross multiply
    310,878x = 687,103 × 687,103
  4. Step 4: Simplify right side
    310,878x = 472,110,532,609
  5. Step 5: Solve for x
    x = 472,110,532,609/310,878
  6. Step 6: Final answer
    x = 1,518,636.03

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.