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Finding the Third Proportional to 300,933,856.50 and 610,329,289.50

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Solution

The third proportional to 300,933,856.50 and 610,329,289.50 is: 1,237,819,652.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,933,856.50 : 610,329,289.50 = 610,329,289.50 : x
  2. Step 2: Convert to fraction form
    300,933,856.50/610,329,289.50 = 610,329,289.50/x
  3. Step 3: Cross multiply
    300,933,856.50x = 610,329,289.50 × 610,329,289.50
  4. Step 4: Simplify right side
    300,933,856.50x = 372,501,841,621,574,784
  5. Step 5: Solve for x
    x = 372,501,841,621,574,784/300,933,856.50
  6. Step 6: Final answer
    x = 1,237,819,652.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.