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Finding the Third Proportional to 335,589,120 and 791,076,872.25

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Solution

The third proportional to 335,589,120 and 791,076,872.25 is: 1,864,788,160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,589,120 : 791,076,872.25 = 791,076,872.25 : x
  2. Step 2: Convert to fraction form
    335,589,120/791,076,872.25 = 791,076,872.25/x
  3. Step 3: Cross multiply
    335,589,120x = 791,076,872.25 × 791,076,872.25
  4. Step 4: Simplify right side
    335,589,120x = 625,802,617,808,842,880
  5. Step 5: Solve for x
    x = 625,802,617,808,842,880/335,589,120
  6. Step 6: Final answer
    x = 1,864,788,160.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.