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Finding the Third Proportional to 629,964 and 1,382,409

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Solution

The third proportional to 629,964 and 1,382,409 is: 3,033,593.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,964 : 1,382,409 = 1,382,409 : x
  2. Step 2: Convert to fraction form
    629,964/1,382,409 = 1,382,409/x
  3. Step 3: Cross multiply
    629,964x = 1,382,409 × 1,382,409
  4. Step 4: Simplify right side
    629,964x = 1,911,054,643,281
  5. Step 5: Solve for x
    x = 1,911,054,643,281/629,964
  6. Step 6: Final answer
    x = 3,033,593.42

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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.