Home / 428,156,381.25-681,288,045.19

Finding the Third Proportional to 428,156,381.25 and 681,288,045.19

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Solution

The third proportional to 428,156,381.25 and 681,288,045.19 is: 1,084,074,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,156,381.25 : 681,288,045.19 = 681,288,045.19 : x
  2. Step 2: Convert to fraction form
    428,156,381.25/681,288,045.19 = 681,288,045.19/x
  3. Step 3: Cross multiply
    428,156,381.25x = 681,288,045.19 × 681,288,045.19
  4. Step 4: Simplify right side
    428,156,381.25x = 464,153,400,515,405,056
  5. Step 5: Solve for x
    x = 464,153,400,515,405,056/428,156,381.25
  6. Step 6: Final answer
    x = 1,084,074,466.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.