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Finding the Third Proportional to 312,372,028.50 and 457,059,382.50

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Solution

The third proportional to 312,372,028.50 and 457,059,382.50 is: 668,764,358.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,372,028.50 : 457,059,382.50 = 457,059,382.50 : x
  2. Step 2: Convert to fraction form
    312,372,028.50/457,059,382.50 = 457,059,382.50/x
  3. Step 3: Cross multiply
    312,372,028.50x = 457,059,382.50 × 457,059,382.50
  4. Step 4: Simplify right side
    312,372,028.50x = 208,903,279,131,281,312
  5. Step 5: Solve for x
    x = 208,903,279,131,281,312/312,372,028.50
  6. Step 6: Final answer
    x = 668,764,358.11

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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.