Home / 196,524,258.75-420,655,502.25

Finding the Third Proportional to 196,524,258.75 and 420,655,502.25

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Solution

The third proportional to 196,524,258.75 and 420,655,502.25 is: 900,403,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,524,258.75 : 420,655,502.25 = 420,655,502.25 : x
  2. Step 2: Convert to fraction form
    196,524,258.75/420,655,502.25 = 420,655,502.25/x
  3. Step 3: Cross multiply
    196,524,258.75x = 420,655,502.25 × 420,655,502.25
  4. Step 4: Simplify right side
    196,524,258.75x = 176,951,051,573,199,744
  5. Step 5: Solve for x
    x = 176,951,051,573,199,744/196,524,258.75
  6. Step 6: Final answer
    x = 900,403,098.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.