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Finding the Third Proportional to 257,158,455 and 388,129,174.50

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Solution

The third proportional to 257,158,455 and 388,129,174.50 is: 585,803,239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,158,455 : 388,129,174.50 = 388,129,174.50 : x
  2. Step 2: Convert to fraction form
    257,158,455/388,129,174.50 = 388,129,174.50/x
  3. Step 3: Cross multiply
    257,158,455x = 388,129,174.50 × 388,129,174.50
  4. Step 4: Simplify right side
    257,158,455x = 150,644,256,098,051,456
  5. Step 5: Solve for x
    x = 150,644,256,098,051,456/257,158,455
  6. Step 6: Final answer
    x = 585,803,239.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.