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Finding the Third Proportional to 1,725,245,578 and 3,778,897,636

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Solution

The third proportional to 1,725,245,578 and 3,778,897,636 is: 8,277,121,544.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725,245,578 : 3,778,897,636 = 3,778,897,636 : x
  2. Step 2: Convert to fraction form
    1,725,245,578/3,778,897,636 = 3,778,897,636/x
  3. Step 3: Cross multiply
    1,725,245,578x = 3,778,897,636 × 3,778,897,636
  4. Step 4: Simplify right side
    1,725,245,578x = 14,280,067,343,366,387,712
  5. Step 5: Solve for x
    x = 14,280,067,343,366,387,712/1,725,245,578
  6. Step 6: Final answer
    x = 8,277,121,544.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.