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Finding the Third Proportional to 148,488 and 311,556

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Solution

The third proportional to 148,488 and 311,556 is: 653,703.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,488 : 311,556 = 311,556 : x
  2. Step 2: Convert to fraction form
    148,488/311,556 = 311,556/x
  3. Step 3: Cross multiply
    148,488x = 311,556 × 311,556
  4. Step 4: Simplify right side
    148,488x = 97,067,141,136
  5. Step 5: Solve for x
    x = 97,067,141,136/148,488
  6. Step 6: Final answer
    x = 653,703.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.