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Finding the Third Proportional to 163,147,721.25 and 258,762,420

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Solution

The third proportional to 163,147,721.25 and 258,762,420 is: 410,413,271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,147,721.25 : 258,762,420 = 258,762,420 : x
  2. Step 2: Convert to fraction form
    163,147,721.25/258,762,420 = 258,762,420/x
  3. Step 3: Cross multiply
    163,147,721.25x = 258,762,420 × 258,762,420
  4. Step 4: Simplify right side
    163,147,721.25x = 66,957,990,004,256,400
  5. Step 5: Solve for x
    x = 66,957,990,004,256,400/163,147,721.25
  6. Step 6: Final answer
    x = 410,413,271.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.