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Finding the Third Proportional to 298,605,768 and 427,006,764

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Solution

The third proportional to 298,605,768 and 427,006,764 is: 610,620,410.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,605,768 : 427,006,764 = 427,006,764 : x
  2. Step 2: Convert to fraction form
    298,605,768/427,006,764 = 427,006,764/x
  3. Step 3: Cross multiply
    298,605,768x = 427,006,764 × 427,006,764
  4. Step 4: Simplify right side
    298,605,768x = 182,334,776,501,751,680
  5. Step 5: Solve for x
    x = 182,334,776,501,751,680/298,605,768
  6. Step 6: Final answer
    x = 610,620,410.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.