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Finding the Third Proportional to 286,418,672 and 440,501,880

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Solution

The third proportional to 286,418,672 and 440,501,880 is: 677,476,454.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,418,672 : 440,501,880 = 440,501,880 : x
  2. Step 2: Convert to fraction form
    286,418,672/440,501,880 = 440,501,880/x
  3. Step 3: Cross multiply
    286,418,672x = 440,501,880 × 440,501,880
  4. Step 4: Simplify right side
    286,418,672x = 194,041,906,283,534,400
  5. Step 5: Solve for x
    x = 194,041,906,283,534,400/286,418,672
  6. Step 6: Final answer
    x = 677,476,454.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.