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Finding the Third Proportional to 134,620 and 291,256

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Solution

The third proportional to 134,620 and 291,256 is: 630,144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,620 : 291,256 = 291,256 : x
  2. Step 2: Convert to fraction form
    134,620/291,256 = 291,256/x
  3. Step 3: Cross multiply
    134,620x = 291,256 × 291,256
  4. Step 4: Simplify right side
    134,620x = 84,830,057,536
  5. Step 5: Solve for x
    x = 84,830,057,536/134,620
  6. Step 6: Final answer
    x = 630,144.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.