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Finding the Third Proportional to 979,678,128 and 2,115,201,753

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Solution

The third proportional to 979,678,128 and 2,115,201,753 is: 4,566,886,131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,678,128 : 2,115,201,753 = 2,115,201,753 : x
  2. Step 2: Convert to fraction form
    979,678,128/2,115,201,753 = 2,115,201,753/x
  3. Step 3: Cross multiply
    979,678,128x = 2,115,201,753 × 2,115,201,753
  4. Step 4: Simplify right side
    979,678,128x = 4,474,078,455,894,273,024
  5. Step 5: Solve for x
    x = 4,474,078,455,894,273,024/979,678,128
  6. Step 6: Final answer
    x = 4,566,886,131.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.