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Finding the Third Proportional to 291,740 and 633,328

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Solution

The third proportional to 291,740 and 633,328 is: 1,374,869.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,740 : 633,328 = 633,328 : x
  2. Step 2: Convert to fraction form
    291,740/633,328 = 633,328/x
  3. Step 3: Cross multiply
    291,740x = 633,328 × 633,328
  4. Step 4: Simplify right side
    291,740x = 401,104,355,584
  5. Step 5: Solve for x
    x = 401,104,355,584/291,740
  6. Step 6: Final answer
    x = 1,374,869.25

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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.