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Finding the Third Proportional to 291,558 and 476,090

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Solution

The third proportional to 291,558 and 476,090 is: 777,415.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,558 : 476,090 = 476,090 : x
  2. Step 2: Convert to fraction form
    291,558/476,090 = 476,090/x
  3. Step 3: Cross multiply
    291,558x = 476,090 × 476,090
  4. Step 4: Simplify right side
    291,558x = 226,661,688,100
  5. Step 5: Solve for x
    x = 226,661,688,100/291,558
  6. Step 6: Final answer
    x = 777,415.43

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.