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Finding the Third Proportional to 71,742,475,073 and 154,131,764,389

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Solution

The third proportional to 71,742,475,073 and 154,131,764,389 is: 331,137,178,770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,742,475,073 : 154,131,764,389 = 154,131,764,389 : x
  2. Step 2: Convert to fraction form
    71,742,475,073/154,131,764,389 = 154,131,764,389/x
  3. Step 3: Cross multiply
    71,742,475,073x = 154,131,764,389 × 154,131,764,389
  4. Step 4: Simplify right side
    71,742,475,073x = 23,756,600,793,666,206,826,496
  5. Step 5: Solve for x
    x = 23,756,600,793,666,206,826,496/71,742,475,073
  6. Step 6: Final answer
    x = 331,137,178,770.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.