Home / 164,147,139.75-256,158,438.75

Finding the Third Proportional to 164,147,139.75 and 256,158,438.75

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Solution

The third proportional to 164,147,139.75 and 256,158,438.75 is: 399,745,897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,147,139.75 : 256,158,438.75 = 256,158,438.75 : x
  2. Step 2: Convert to fraction form
    164,147,139.75/256,158,438.75 = 256,158,438.75/x
  3. Step 3: Cross multiply
    164,147,139.75x = 256,158,438.75 × 256,158,438.75
  4. Step 4: Simplify right side
    164,147,139.75x = 65,617,145,742,837,504
  5. Step 5: Solve for x
    x = 65,617,145,742,837,504/164,147,139.75
  6. Step 6: Final answer
    x = 399,745,897.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.