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Finding the Third Proportional to 315,366.75 and 489,661.88

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Solution

The third proportional to 315,366.75 and 489,661.88 is: 760,285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,366.75 : 489,661.88 = 489,661.88 : x
  2. Step 2: Convert to fraction form
    315,366.75/489,661.88 = 489,661.88/x
  3. Step 3: Cross multiply
    315,366.75x = 489,661.88 × 489,661.88
  4. Step 4: Simplify right side
    315,366.75x = 239,768,751,828.52
  5. Step 5: Solve for x
    x = 239,768,751,828.52/315,366.75
  6. Step 6: Final answer
    x = 760,285.45

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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.