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Finding the Third Proportional to 315,364.50 and 489,658.50

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Solution

The third proportional to 315,364.50 and 489,658.50 is: 760,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,364.50 : 489,658.50 = 489,658.50 : x
  2. Step 2: Convert to fraction form
    315,364.50/489,658.50 = 489,658.50/x
  3. Step 3: Cross multiply
    315,364.50x = 489,658.50 × 489,658.50
  4. Step 4: Simplify right side
    315,364.50x = 239,765,446,622.25
  5. Step 5: Solve for x
    x = 239,765,446,622.25/315,364.50
  6. Step 6: Final answer
    x = 760,280.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.