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Finding the Third Proportional to 388,840 and 808,719

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Solution

The third proportional to 388,840 and 808,719 is: 1,681,993.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,840 : 808,719 = 808,719 : x
  2. Step 2: Convert to fraction form
    388,840/808,719 = 808,719/x
  3. Step 3: Cross multiply
    388,840x = 808,719 × 808,719
  4. Step 4: Simplify right side
    388,840x = 654,026,420,961
  5. Step 5: Solve for x
    x = 654,026,420,961/388,840
  6. Step 6: Final answer
    x = 1,681,993.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.