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Finding the Third Proportional to 122,760,218.41 and 265,953,197.65

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Solution

The third proportional to 122,760,218.41 and 265,953,197.65 is: 576,172,837.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,760,218.41 : 265,953,197.65 = 265,953,197.65 : x
  2. Step 2: Convert to fraction form
    122,760,218.41/265,953,197.65 = 265,953,197.65/x
  3. Step 3: Cross multiply
    122,760,218.41x = 265,953,197.65 × 265,953,197.65
  4. Step 4: Simplify right side
    122,760,218.41x = 70,731,103,342,557,800
  5. Step 5: Solve for x
    x = 70,731,103,342,557,800/122,760,218.41
  6. Step 6: Final answer
    x = 576,172,837.26

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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.