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Finding the Third Proportional to 308,492 and 625,570

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Solution

The third proportional to 308,492 and 625,570 is: 1,268,550.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,492 : 625,570 = 625,570 : x
  2. Step 2: Convert to fraction form
    308,492/625,570 = 625,570/x
  3. Step 3: Cross multiply
    308,492x = 625,570 × 625,570
  4. Step 4: Simplify right side
    308,492x = 391,337,824,900
  5. Step 5: Solve for x
    x = 391,337,824,900/308,492
  6. Step 6: Final answer
    x = 1,268,550.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.