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Finding the Third Proportional to 289,145,969 and 440,498,509

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Solution

The third proportional to 289,145,969 and 440,498,509 is: 671,076,055.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,145,969 : 440,498,509 = 440,498,509 : x
  2. Step 2: Convert to fraction form
    289,145,969/440,498,509 = 440,498,509/x
  3. Step 3: Cross multiply
    289,145,969x = 440,498,509 × 440,498,509
  4. Step 4: Simplify right side
    289,145,969x = 194,038,936,431,223,072
  5. Step 5: Solve for x
    x = 194,038,936,431,223,072/289,145,969
  6. Step 6: Final answer
    x = 671,076,055.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.