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Finding the Third Proportional to 221,618 and 456,304

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Solution

The third proportional to 221,618 and 456,304 is: 939,514.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,618 : 456,304 = 456,304 : x
  2. Step 2: Convert to fraction form
    221,618/456,304 = 456,304/x
  3. Step 3: Cross multiply
    221,618x = 456,304 × 456,304
  4. Step 4: Simplify right side
    221,618x = 208,213,340,416
  5. Step 5: Solve for x
    x = 208,213,340,416/221,618
  6. Step 6: Final answer
    x = 939,514.57

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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.