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Finding the Third Proportional to 116,292,189,648 and 252,431,707,488

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Solution

The third proportional to 116,292,189,648 and 252,431,707,488 is: 547,945,370,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,292,189,648 : 252,431,707,488 = 252,431,707,488 : x
  2. Step 2: Convert to fraction form
    116,292,189,648/252,431,707,488 = 252,431,707,488/x
  3. Step 3: Cross multiply
    116,292,189,648x = 252,431,707,488 × 252,431,707,488
  4. Step 4: Simplify right side
    116,292,189,648x = 63,721,766,945,307,194,556,416
  5. Step 5: Solve for x
    x = 63,721,766,945,307,194,556,416/116,292,189,648
  6. Step 6: Final answer
    x = 547,945,370,520.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.