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Finding the Third Proportional to 380,596 and 828,998

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Solution

The third proportional to 380,596 and 828,998 is: 1,805,688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,596 : 828,998 = 828,998 : x
  2. Step 2: Convert to fraction form
    380,596/828,998 = 828,998/x
  3. Step 3: Cross multiply
    380,596x = 828,998 × 828,998
  4. Step 4: Simplify right side
    380,596x = 687,237,684,004
  5. Step 5: Solve for x
    x = 687,237,684,004/380,596
  6. Step 6: Final answer
    x = 1,805,688.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.