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Finding the Third Proportional to 398,185,096.50 and 623,268,429.75

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Solution

The third proportional to 398,185,096.50 and 623,268,429.75 is: 975,585,321.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,185,096.50 : 623,268,429.75 = 623,268,429.75 : x
  2. Step 2: Convert to fraction form
    398,185,096.50/623,268,429.75 = 623,268,429.75/x
  3. Step 3: Cross multiply
    398,185,096.50x = 623,268,429.75 × 623,268,429.75
  4. Step 4: Simplify right side
    398,185,096.50x = 388,463,535,523,030,656
  5. Step 5: Solve for x
    x = 388,463,535,523,030,656/398,185,096.50
  6. Step 6: Final answer
    x = 975,585,321.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.