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Finding the Third Proportional to 343,824 and 738,428

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Solution

The third proportional to 343,824 and 738,428 is: 1,585,915.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,824 : 738,428 = 738,428 : x
  2. Step 2: Convert to fraction form
    343,824/738,428 = 738,428/x
  3. Step 3: Cross multiply
    343,824x = 738,428 × 738,428
  4. Step 4: Simplify right side
    343,824x = 545,275,911,184
  5. Step 5: Solve for x
    x = 545,275,911,184/343,824
  6. Step 6: Final answer
    x = 1,585,915.79

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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.