Home / 137,237,188.78-209,072,074.22

Finding the Third Proportional to 137,237,188.78 and 209,072,074.22

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Solution

The third proportional to 137,237,188.78 and 209,072,074.22 is: 318,507,924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,237,188.78 : 209,072,074.22 = 209,072,074.22 : x
  2. Step 2: Convert to fraction form
    137,237,188.78/209,072,074.22 = 209,072,074.22/x
  3. Step 3: Cross multiply
    137,237,188.78x = 209,072,074.22 × 209,072,074.22
  4. Step 4: Simplify right side
    137,237,188.78x = 43,711,132,218,130,512
  5. Step 5: Solve for x
    x = 43,711,132,218,130,512/137,237,188.78
  6. Step 6: Final answer
    x = 318,507,924.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.