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Finding the Third Proportional to 138,471,812 and 219,266,594

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Solution

The third proportional to 138,471,812 and 219,266,594 is: 347,203,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,471,812 : 219,266,594 = 219,266,594 : x
  2. Step 2: Convert to fraction form
    138,471,812/219,266,594 = 219,266,594/x
  3. Step 3: Cross multiply
    138,471,812x = 219,266,594 × 219,266,594
  4. Step 4: Simplify right side
    138,471,812x = 48,077,839,244,360,832
  5. Step 5: Solve for x
    x = 48,077,839,244,360,832/138,471,812
  6. Step 6: Final answer
    x = 347,203,077.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.