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Finding the Third Proportional to 117,002,912 and 253,528,768

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Solution

The third proportional to 117,002,912 and 253,528,768 is: 549,360,995.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,002,912 : 253,528,768 = 253,528,768 : x
  2. Step 2: Convert to fraction form
    117,002,912/253,528,768 = 253,528,768/x
  3. Step 3: Cross multiply
    117,002,912x = 253,528,768 × 253,528,768
  4. Step 4: Simplify right side
    117,002,912x = 64,276,836,203,597,824
  5. Step 5: Solve for x
    x = 64,276,836,203,597,824/117,002,912
  6. Step 6: Final answer
    x = 549,360,995.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.