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Finding the Third Proportional to 1,729,126,101 and 3,720,862,770

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Solution

The third proportional to 1,729,126,101 and 3,720,862,770 is: 8,006,830,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729,126,101 : 3,720,862,770 = 3,720,862,770 : x
  2. Step 2: Convert to fraction form
    1,729,126,101/3,720,862,770 = 3,720,862,770/x
  3. Step 3: Cross multiply
    1,729,126,101x = 3,720,862,770 × 3,720,862,770
  4. Step 4: Simplify right side
    1,729,126,101x = 13,844,819,753,172,072,448
  5. Step 5: Solve for x
    x = 13,844,819,753,172,072,448/1,729,126,101
  6. Step 6: Final answer
    x = 8,006,830,586.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.