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Finding the Third Proportional to 355,621.50 and 519,931

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Solution

The third proportional to 355,621.50 and 519,931 is: 760,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,621.50 : 519,931 = 519,931 : x
  2. Step 2: Convert to fraction form
    355,621.50/519,931 = 519,931/x
  3. Step 3: Cross multiply
    355,621.50x = 519,931 × 519,931
  4. Step 4: Simplify right side
    355,621.50x = 270,328,244,761
  5. Step 5: Solve for x
    x = 270,328,244,761/355,621.50
  6. Step 6: Final answer
    x = 760,157.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.