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Finding the Third Proportional to 319,712.06 and 699,532.45

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Solution

The third proportional to 319,712.06 and 699,532.45 is: 1,530,582.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,712.06 : 699,532.45 = 699,532.45 : x
  2. Step 2: Convert to fraction form
    319,712.06/699,532.45 = 699,532.45/x
  3. Step 3: Cross multiply
    319,712.06x = 699,532.45 × 699,532.45
  4. Step 4: Simplify right side
    319,712.06x = 489,345,652,975.08
  5. Step 5: Solve for x
    x = 489,345,652,975.08/319,712.06
  6. Step 6: Final answer
    x = 1,530,582.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.