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Finding the Third Proportional to 436,844 and 654,618

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Solution

The third proportional to 436,844 and 654,618 is: 980,955.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,844 : 654,618 = 654,618 : x
  2. Step 2: Convert to fraction form
    436,844/654,618 = 654,618/x
  3. Step 3: Cross multiply
    436,844x = 654,618 × 654,618
  4. Step 4: Simplify right side
    436,844x = 428,524,725,924
  5. Step 5: Solve for x
    x = 428,524,725,924/436,844
  6. Step 6: Final answer
    x = 980,955.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.