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Finding the Third Proportional to 117,130 and 256,468

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Solution

The third proportional to 117,130 and 256,468 is: 561,562.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,130 : 256,468 = 256,468 : x
  2. Step 2: Convert to fraction form
    117,130/256,468 = 256,468/x
  3. Step 3: Cross multiply
    117,130x = 256,468 × 256,468
  4. Step 4: Simplify right side
    117,130x = 65,775,835,024
  5. Step 5: Solve for x
    x = 65,775,835,024/117,130
  6. Step 6: Final answer
    x = 561,562.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.