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Finding the Third Proportional to 385,920 and 822,816

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Solution

The third proportional to 385,920 and 822,816 is: 1,754,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,920 : 822,816 = 822,816 : x
  2. Step 2: Convert to fraction form
    385,920/822,816 = 822,816/x
  3. Step 3: Cross multiply
    385,920x = 822,816 × 822,816
  4. Step 4: Simplify right side
    385,920x = 677,026,169,856
  5. Step 5: Solve for x
    x = 677,026,169,856/385,920
  6. Step 6: Final answer
    x = 1,754,317.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.