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Finding the Third Proportional to 221,485 and 343,618

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Solution

The third proportional to 221,485 and 343,618 is: 533,098.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,485 : 343,618 = 343,618 : x
  2. Step 2: Convert to fraction form
    221,485/343,618 = 343,618/x
  3. Step 3: Cross multiply
    221,485x = 343,618 × 343,618
  4. Step 4: Simplify right side
    221,485x = 118,073,329,924
  5. Step 5: Solve for x
    x = 118,073,329,924/221,485
  6. Step 6: Final answer
    x = 533,098.54

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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.