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Finding the Third Proportional to 155,219,268 and 258,683,190

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Solution

The third proportional to 155,219,268 and 258,683,190 is: 431,112,668.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,219,268 : 258,683,190 = 258,683,190 : x
  2. Step 2: Convert to fraction form
    155,219,268/258,683,190 = 258,683,190/x
  3. Step 3: Cross multiply
    155,219,268x = 258,683,190 × 258,683,190
  4. Step 4: Simplify right side
    155,219,268x = 66,916,992,788,576,096
  5. Step 5: Solve for x
    x = 66,916,992,788,576,096/155,219,268
  6. Step 6: Final answer
    x = 431,112,668.23

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.