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Finding the Third Proportional to 428,301,756 and 577,879,629.75

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Solution

The third proportional to 428,301,756 and 577,879,629.75 is: 779,695,300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,301,756 : 577,879,629.75 = 577,879,629.75 : x
  2. Step 2: Convert to fraction form
    428,301,756/577,879,629.75 = 577,879,629.75/x
  3. Step 3: Cross multiply
    428,301,756x = 577,879,629.75 × 577,879,629.75
  4. Step 4: Simplify right side
    428,301,756x = 333,944,866,479,997,056
  5. Step 5: Solve for x
    x = 333,944,866,479,997,056/428,301,756
  6. Step 6: Final answer
    x = 779,695,300.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.