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Finding the Third Proportional to 221,621 and 456,310

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Solution

The third proportional to 221,621 and 456,310 is: 939,526.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,621 : 456,310 = 456,310 : x
  2. Step 2: Convert to fraction form
    221,621/456,310 = 456,310/x
  3. Step 3: Cross multiply
    221,621x = 456,310 × 456,310
  4. Step 4: Simplify right side
    221,621x = 208,218,816,100
  5. Step 5: Solve for x
    x = 208,218,816,100/221,621
  6. Step 6: Final answer
    x = 939,526.56

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.