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Finding the Third Proportional to 221,454 and 351,621

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Solution

The third proportional to 221,454 and 351,621 is: 558,298.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,454 : 351,621 = 351,621 : x
  2. Step 2: Convert to fraction form
    221,454/351,621 = 351,621/x
  3. Step 3: Cross multiply
    221,454x = 351,621 × 351,621
  4. Step 4: Simplify right side
    221,454x = 123,637,327,641
  5. Step 5: Solve for x
    x = 123,637,327,641/221,454
  6. Step 6: Final answer
    x = 558,298.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.