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Finding the Third Proportional to 312,924 and 684,888

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Solution

The third proportional to 312,924 and 684,888 is: 1,498,995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,924 : 684,888 = 684,888 : x
  2. Step 2: Convert to fraction form
    312,924/684,888 = 684,888/x
  3. Step 3: Cross multiply
    312,924x = 684,888 × 684,888
  4. Step 4: Simplify right side
    312,924x = 469,071,572,544
  5. Step 5: Solve for x
    x = 469,071,572,544/312,924
  6. Step 6: Final answer
    x = 1,498,995.20

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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.