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Finding the Third Proportional to 393,672 and 611,248

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Solution

The third proportional to 393,672 and 611,248 is: 949,074.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,672 : 611,248 = 611,248 : x
  2. Step 2: Convert to fraction form
    393,672/611,248 = 611,248/x
  3. Step 3: Cross multiply
    393,672x = 611,248 × 611,248
  4. Step 4: Simplify right side
    393,672x = 373,624,117,504
  5. Step 5: Solve for x
    x = 373,624,117,504/393,672
  6. Step 6: Final answer
    x = 949,074.65

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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.