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Finding the Third Proportional to 380,640,990 and 605,674,644

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Solution

The third proportional to 380,640,990 and 605,674,644 is: 963,747,426.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,640,990 : 605,674,644 = 605,674,644 : x
  2. Step 2: Convert to fraction form
    380,640,990/605,674,644 = 605,674,644/x
  3. Step 3: Cross multiply
    380,640,990x = 605,674,644 × 605,674,644
  4. Step 4: Simplify right side
    380,640,990x = 366,841,774,384,526,720
  5. Step 5: Solve for x
    x = 366,841,774,384,526,720/380,640,990
  6. Step 6: Final answer
    x = 963,747,426.11

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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.