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Finding the Third Proportional to 489,858,235 and 758,480,763

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Solution

The third proportional to 489,858,235 and 758,480,763 is: 1,174,407,260.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,858,235 : 758,480,763 = 758,480,763 : x
  2. Step 2: Convert to fraction form
    489,858,235/758,480,763 = 758,480,763/x
  3. Step 3: Cross multiply
    489,858,235x = 758,480,763 × 758,480,763
  4. Step 4: Simplify right side
    489,858,235x = 575,293,067,841,062,144
  5. Step 5: Solve for x
    x = 575,293,067,841,062,144/489,858,235
  6. Step 6: Final answer
    x = 1,174,407,260.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.