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Finding the Third Proportional to 345,200 and 714,368

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Solution

The third proportional to 345,200 and 714,368 is: 1,478,336.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,200 : 714,368 = 714,368 : x
  2. Step 2: Convert to fraction form
    345,200/714,368 = 714,368/x
  3. Step 3: Cross multiply
    345,200x = 714,368 × 714,368
  4. Step 4: Simplify right side
    345,200x = 510,321,639,424
  5. Step 5: Solve for x
    x = 510,321,639,424/345,200
  6. Step 6: Final answer
    x = 1,478,336.15

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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.