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Finding the Third Proportional to 343,120 and 743,488

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Solution

The third proportional to 343,120 and 743,488 is: 1,611,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,120 : 743,488 = 743,488 : x
  2. Step 2: Convert to fraction form
    343,120/743,488 = 743,488/x
  3. Step 3: Cross multiply
    343,120x = 743,488 × 743,488
  4. Step 4: Simplify right side
    343,120x = 552,774,406,144
  5. Step 5: Solve for x
    x = 552,774,406,144/343,120
  6. Step 6: Final answer
    x = 1,611,023.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.