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Finding the Third Proportional to 409,200,880 and 876,623,840

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Solution

The third proportional to 409,200,880 and 876,623,840 is: 1,877,975,816.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,200,880 : 876,623,840 = 876,623,840 : x
  2. Step 2: Convert to fraction form
    409,200,880/876,623,840 = 876,623,840/x
  3. Step 3: Cross multiply
    409,200,880x = 876,623,840 × 876,623,840
  4. Step 4: Simplify right side
    409,200,880x = 768,469,356,856,345,600
  5. Step 5: Solve for x
    x = 768,469,356,856,345,600/409,200,880
  6. Step 6: Final answer
    x = 1,877,975,816.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.