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Finding the Third Proportional to 385,035,847 and 840,628,708

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Solution

The third proportional to 385,035,847 and 840,628,708 is: 1,835,300,869.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,035,847 : 840,628,708 = 840,628,708 : x
  2. Step 2: Convert to fraction form
    385,035,847/840,628,708 = 840,628,708/x
  3. Step 3: Cross multiply
    385,035,847x = 840,628,708 × 840,628,708
  4. Step 4: Simplify right side
    385,035,847x = 706,656,624,713,749,248
  5. Step 5: Solve for x
    x = 706,656,624,713,749,248/385,035,847
  6. Step 6: Final answer
    x = 1,835,300,869.31

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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.