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Finding the Third Proportional to 365,556 and 489,001.50

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Solution

The third proportional to 365,556 and 489,001.50 is: 654,133.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,556 : 489,001.50 = 489,001.50 : x
  2. Step 2: Convert to fraction form
    365,556/489,001.50 = 489,001.50/x
  3. Step 3: Cross multiply
    365,556x = 489,001.50 × 489,001.50
  4. Step 4: Simplify right side
    365,556x = 239,122,467,002.25
  5. Step 5: Solve for x
    x = 239,122,467,002.25/365,556
  6. Step 6: Final answer
    x = 654,133.61

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.