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Finding the Third Proportional to 309,093 and 651,858

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Solution

The third proportional to 309,093 and 651,858 is: 1,374,728.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,093 : 651,858 = 651,858 : x
  2. Step 2: Convert to fraction form
    309,093/651,858 = 651,858/x
  3. Step 3: Cross multiply
    309,093x = 651,858 × 651,858
  4. Step 4: Simplify right side
    309,093x = 424,918,852,164
  5. Step 5: Solve for x
    x = 424,918,852,164/309,093
  6. Step 6: Final answer
    x = 1,374,728.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.