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Finding the Third Proportional to 387,240 and 833,816

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Solution

The third proportional to 387,240 and 833,816 is: 1,795,395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,240 : 833,816 = 833,816 : x
  2. Step 2: Convert to fraction form
    387,240/833,816 = 833,816/x
  3. Step 3: Cross multiply
    387,240x = 833,816 × 833,816
  4. Step 4: Simplify right side
    387,240x = 695,249,121,856
  5. Step 5: Solve for x
    x = 695,249,121,856/387,240
  6. Step 6: Final answer
    x = 1,795,395.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.