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Finding the Third Proportional to 393,618 and 626,629

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Solution

The third proportional to 393,618 and 626,629 is: 997,576.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,618 : 626,629 = 626,629 : x
  2. Step 2: Convert to fraction form
    393,618/626,629 = 626,629/x
  3. Step 3: Cross multiply
    393,618x = 626,629 × 626,629
  4. Step 4: Simplify right side
    393,618x = 392,663,903,641
  5. Step 5: Solve for x
    x = 392,663,903,641/393,618
  6. Step 6: Final answer
    x = 997,576.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.