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Finding the Third Proportional to 368,968 and 556,839

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Solution

The third proportional to 368,968 and 556,839 is: 840,370.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,968 : 556,839 = 556,839 : x
  2. Step 2: Convert to fraction form
    368,968/556,839 = 556,839/x
  3. Step 3: Cross multiply
    368,968x = 556,839 × 556,839
  4. Step 4: Simplify right side
    368,968x = 310,069,671,921
  5. Step 5: Solve for x
    x = 310,069,671,921/368,968
  6. Step 6: Final answer
    x = 840,370.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.