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Finding the Third Proportional to 385,035,963.75 and 840,628,901.25

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Solution

The third proportional to 385,035,963.75 and 840,628,901.25 is: 1,835,301,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,035,963.75 : 840,628,901.25 = 840,628,901.25 : x
  2. Step 2: Convert to fraction form
    385,035,963.75/840,628,901.25 = 840,628,901.25/x
  3. Step 3: Cross multiply
    385,035,963.75x = 840,628,901.25 × 840,628,901.25
  4. Step 4: Simplify right side
    385,035,963.75x = 706,656,949,616,782,208
  5. Step 5: Solve for x
    x = 706,656,949,616,782,208/385,035,963.75
  6. Step 6: Final answer
    x = 1,835,301,156.64

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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.