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Finding the Third Proportional to 154,247 and 312,787

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Solution

The third proportional to 154,247 and 312,787 is: 634,279.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,247 : 312,787 = 312,787 : x
  2. Step 2: Convert to fraction form
    154,247/312,787 = 312,787/x
  3. Step 3: Cross multiply
    154,247x = 312,787 × 312,787
  4. Step 4: Simplify right side
    154,247x = 97,835,707,369
  5. Step 5: Solve for x
    x = 97,835,707,369/154,247
  6. Step 6: Final answer
    x = 634,279.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.