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Finding the Third Proportional to 312,372,030 and 457,059,384.75

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Solution

The third proportional to 312,372,030 and 457,059,384.75 is: 668,764,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,372,030 : 457,059,384.75 = 457,059,384.75 : x
  2. Step 2: Convert to fraction form
    312,372,030/457,059,384.75 = 457,059,384.75/x
  3. Step 3: Cross multiply
    312,372,030x = 457,059,384.75 × 457,059,384.75
  4. Step 4: Simplify right side
    312,372,030x = 208,903,281,188,048,544
  5. Step 5: Solve for x
    x = 208,903,281,188,048,544/312,372,030
  6. Step 6: Final answer
    x = 668,764,361.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.