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Finding the Third Proportional to 304,871,979 and 649,071,078

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Solution

The third proportional to 304,871,979 and 649,071,078 is: 1,381,869,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,871,979 : 649,071,078 = 649,071,078 : x
  2. Step 2: Convert to fraction form
    304,871,979/649,071,078 = 649,071,078/x
  3. Step 3: Cross multiply
    304,871,979x = 649,071,078 × 649,071,078
  4. Step 4: Simplify right side
    304,871,979x = 421,293,264,296,082,112
  5. Step 5: Solve for x
    x = 421,293,264,296,082,112/304,871,979
  6. Step 6: Final answer
    x = 1,381,869,418.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.