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Finding the Third Proportional to 122,128.45 and 265,145.63

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Solution

The third proportional to 122,128.45 and 265,145.63 is: 575,641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,128.45 : 265,145.63 = 265,145.63 : x
  2. Step 2: Convert to fraction form
    122,128.45/265,145.63 = 265,145.63/x
  3. Step 3: Cross multiply
    122,128.45x = 265,145.63 × 265,145.63
  4. Step 4: Simplify right side
    122,128.45x = 70,302,202,456.64
  5. Step 5: Solve for x
    x = 70,302,202,456.64/122,128.45
  6. Step 6: Final answer
    x = 575,641.47

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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.