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Finding the Third Proportional to 345,249 and 714,474

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Solution

The third proportional to 345,249 and 714,474 is: 1,478,565.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,249 : 714,474 = 714,474 : x
  2. Step 2: Convert to fraction form
    345,249/714,474 = 714,474/x
  3. Step 3: Cross multiply
    345,249x = 714,474 × 714,474
  4. Step 4: Simplify right side
    345,249x = 510,473,096,676
  5. Step 5: Solve for x
    x = 510,473,096,676/345,249
  6. Step 6: Final answer
    x = 1,478,565.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.