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Finding the Third Proportional to 1,977,484,898 and 2,991,678,303

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Solution

The third proportional to 1,977,484,898 and 2,991,678,303 is: 4,526,021,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977,484,898 : 2,991,678,303 = 2,991,678,303 : x
  2. Step 2: Convert to fraction form
    1,977,484,898/2,991,678,303 = 2,991,678,303/x
  3. Step 3: Cross multiply
    1,977,484,898x = 2,991,678,303 × 2,991,678,303
  4. Step 4: Simplify right side
    1,977,484,898x = 8,950,139,068,640,959,488
  5. Step 5: Solve for x
    x = 8,950,139,068,640,959,488/1,977,484,898
  6. Step 6: Final answer
    x = 4,526,021,451.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.