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Finding the Third Proportional to 274,055,460 and 646,743,069

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Solution

The third proportional to 274,055,460 and 646,743,069 is: 1,526,247,998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,055,460 : 646,743,069 = 646,743,069 : x
  2. Step 2: Convert to fraction form
    274,055,460/646,743,069 = 646,743,069/x
  3. Step 3: Cross multiply
    274,055,460x = 646,743,069 × 646,743,069
  4. Step 4: Simplify right side
    274,055,460x = 418,276,597,299,538,752
  5. Step 5: Solve for x
    x = 418,276,597,299,538,752/274,055,460
  6. Step 6: Final answer
    x = 1,526,247,998.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.