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Finding the Third Proportional to 291,088 and 633,440

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Solution

The third proportional to 291,088 and 633,440 is: 1,378,436.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,088 : 633,440 = 633,440 : x
  2. Step 2: Convert to fraction form
    291,088/633,440 = 633,440/x
  3. Step 3: Cross multiply
    291,088x = 633,440 × 633,440
  4. Step 4: Simplify right side
    291,088x = 401,246,233,600
  5. Step 5: Solve for x
    x = 401,246,233,600/291,088
  6. Step 6: Final answer
    x = 1,378,436.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.