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Finding the Third Proportional to 355,618 and 550,275

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Solution

The third proportional to 355,618 and 550,275 is: 851,482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,618 : 550,275 = 550,275 : x
  2. Step 2: Convert to fraction form
    355,618/550,275 = 550,275/x
  3. Step 3: Cross multiply
    355,618x = 550,275 × 550,275
  4. Step 4: Simplify right side
    355,618x = 302,802,575,625
  5. Step 5: Solve for x
    x = 302,802,575,625/355,618
  6. Step 6: Final answer
    x = 851,482.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.