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Finding the Third Proportional to 315,888 and 684,228

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Solution

The third proportional to 315,888 and 684,228 is: 1,482,069.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,888 : 684,228 = 684,228 : x
  2. Step 2: Convert to fraction form
    315,888/684,228 = 684,228/x
  3. Step 3: Cross multiply
    315,888x = 684,228 × 684,228
  4. Step 4: Simplify right side
    315,888x = 468,167,955,984
  5. Step 5: Solve for x
    x = 468,167,955,984/315,888
  6. Step 6: Final answer
    x = 1,482,069.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.