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Finding the Third Proportional to 379,323 and 560,479.50

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Solution

The third proportional to 379,323 and 560,479.50 is: 828,152.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,323 : 560,479.50 = 560,479.50 : x
  2. Step 2: Convert to fraction form
    379,323/560,479.50 = 560,479.50/x
  3. Step 3: Cross multiply
    379,323x = 560,479.50 × 560,479.50
  4. Step 4: Simplify right side
    379,323x = 314,137,269,920.25
  5. Step 5: Solve for x
    x = 314,137,269,920.25/379,323
  6. Step 6: Final answer
    x = 828,152.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.