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Finding the Third Proportional to 291,692 and 633,178

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Solution

The third proportional to 291,692 and 633,178 is: 1,374,444.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,692 : 633,178 = 633,178 : x
  2. Step 2: Convert to fraction form
    291,692/633,178 = 633,178/x
  3. Step 3: Cross multiply
    291,692x = 633,178 × 633,178
  4. Step 4: Simplify right side
    291,692x = 400,914,379,684
  5. Step 5: Solve for x
    x = 400,914,379,684/291,692
  6. Step 6: Final answer
    x = 1,374,444.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.