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Finding the Third Proportional to 345,121 and 741,473

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Solution

The third proportional to 345,121 and 741,473 is: 1,593,012.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,121 : 741,473 = 741,473 : x
  2. Step 2: Convert to fraction form
    345,121/741,473 = 741,473/x
  3. Step 3: Cross multiply
    345,121x = 741,473 × 741,473
  4. Step 4: Simplify right side
    345,121x = 549,782,209,729
  5. Step 5: Solve for x
    x = 549,782,209,729/345,121
  6. Step 6: Final answer
    x = 1,593,012.91

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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.