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Finding the Third Proportional to 289,145,996 and 440,498,534

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Solution

The third proportional to 289,145,996 and 440,498,534 is: 671,076,069.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,145,996 : 440,498,534 = 440,498,534 : x
  2. Step 2: Convert to fraction form
    289,145,996/440,498,534 = 440,498,534/x
  3. Step 3: Cross multiply
    289,145,996x = 440,498,534 × 440,498,534
  4. Step 4: Simplify right side
    289,145,996x = 194,038,958,456,149,152
  5. Step 5: Solve for x
    x = 194,038,958,456,149,152/289,145,996
  6. Step 6: Final answer
    x = 671,076,069.32

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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.