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Finding the Third Proportional to 493,678,866 and 1,052,967,726

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Solution

The third proportional to 493,678,866 and 1,052,967,726 is: 2,245,875,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,678,866 : 1,052,967,726 = 1,052,967,726 : x
  2. Step 2: Convert to fraction form
    493,678,866/1,052,967,726 = 1,052,967,726/x
  3. Step 3: Cross multiply
    493,678,866x = 1,052,967,726 × 1,052,967,726
  4. Step 4: Simplify right side
    493,678,866x = 1,108,741,031,997,611,136
  5. Step 5: Solve for x
    x = 1,108,741,031,997,611,136/493,678,866
  6. Step 6: Final answer
    x = 2,245,875,017.87

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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.