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Finding the Third Proportional to 385,035,969 and 840,628,914

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Solution

The third proportional to 385,035,969 and 840,628,914 is: 1,835,301,187.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,035,969 : 840,628,914 = 840,628,914 : x
  2. Step 2: Convert to fraction form
    385,035,969/840,628,914 = 840,628,914/x
  3. Step 3: Cross multiply
    385,035,969x = 840,628,914 × 840,628,914
  4. Step 4: Simplify right side
    385,035,969x = 706,656,971,052,819,456
  5. Step 5: Solve for x
    x = 706,656,971,052,819,456/385,035,969
  6. Step 6: Final answer
    x = 1,835,301,187.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.