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Finding the Third Proportional to 312,336 and 684,864

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Solution

The third proportional to 312,336 and 684,864 is: 1,501,711.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,336 : 684,864 = 684,864 : x
  2. Step 2: Convert to fraction form
    312,336/684,864 = 684,864/x
  3. Step 3: Cross multiply
    312,336x = 684,864 × 684,864
  4. Step 4: Simplify right side
    312,336x = 469,038,698,496
  5. Step 5: Solve for x
    x = 469,038,698,496/312,336
  6. Step 6: Final answer
    x = 1,501,711.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.