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Finding the Third Proportional to 320,878 and 493,258

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Solution

The third proportional to 320,878 and 493,258 is: 758,242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,878 : 493,258 = 493,258 : x
  2. Step 2: Convert to fraction form
    320,878/493,258 = 493,258/x
  3. Step 3: Cross multiply
    320,878x = 493,258 × 493,258
  4. Step 4: Simplify right side
    320,878x = 243,303,454,564
  5. Step 5: Solve for x
    x = 243,303,454,564/320,878
  6. Step 6: Final answer
    x = 758,242.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.