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Finding the Third Proportional to 218,963,313 and 306,123,601.50

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Solution

The third proportional to 218,963,313 and 306,123,601.50 is: 427,978,815.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,963,313 : 306,123,601.50 = 306,123,601.50 : x
  2. Step 2: Convert to fraction form
    218,963,313/306,123,601.50 = 306,123,601.50/x
  3. Step 3: Cross multiply
    218,963,313x = 306,123,601.50 × 306,123,601.50
  4. Step 4: Simplify right side
    218,963,313x = 93,711,659,395,330,800
  5. Step 5: Solve for x
    x = 93,711,659,395,330,800/218,963,313
  6. Step 6: Final answer
    x = 427,978,815.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.