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Finding the Third Proportional to 690,775,021.69 and 1,127,854,033.88

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Solution

The third proportional to 690,775,021.69 and 1,127,854,033.88 is: 1,841,489,170.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,775,021.69 : 1,127,854,033.88 = 1,127,854,033.88 : x
  2. Step 2: Convert to fraction form
    690,775,021.69/1,127,854,033.88 = 1,127,854,033.88/x
  3. Step 3: Cross multiply
    690,775,021.69x = 1,127,854,033.88 × 1,127,854,033.88
  4. Step 4: Simplify right side
    690,775,021.69x = 1,272,054,721,728,109,568
  5. Step 5: Solve for x
    x = 1,272,054,721,728,109,568/690,775,021.69
  6. Step 6: Final answer
    x = 1,841,489,170.56

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.