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Finding the Third Proportional to 98,148 and 209,418

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Solution

The third proportional to 98,148 and 209,418 is: 446,834.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,148 : 209,418 = 209,418 : x
  2. Step 2: Convert to fraction form
    98,148/209,418 = 209,418/x
  3. Step 3: Cross multiply
    98,148x = 209,418 × 209,418
  4. Step 4: Simplify right side
    98,148x = 43,855,898,724
  5. Step 5: Solve for x
    x = 43,855,898,724/98,148
  6. Step 6: Final answer
    x = 446,834.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.