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Finding the Third Proportional to 400,943,288 and 637,985,945

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Solution

The third proportional to 400,943,288 and 637,985,945 is: 1,015,171,168.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,943,288 : 637,985,945 = 637,985,945 : x
  2. Step 2: Convert to fraction form
    400,943,288/637,985,945 = 637,985,945/x
  3. Step 3: Cross multiply
    400,943,288x = 637,985,945 × 637,985,945
  4. Step 4: Simplify right side
    400,943,288x = 407,026,066,017,543,040
  5. Step 5: Solve for x
    x = 407,026,066,017,543,040/400,943,288
  6. Step 6: Final answer
    x = 1,015,171,168.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.