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Finding the Third Proportional to 409,618 and 847,652

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Solution

The third proportional to 409,618 and 847,652 is: 1,754,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,618 : 847,652 = 847,652 : x
  2. Step 2: Convert to fraction form
    409,618/847,652 = 847,652/x
  3. Step 3: Cross multiply
    409,618x = 847,652 × 847,652
  4. Step 4: Simplify right side
    409,618x = 718,513,913,104
  5. Step 5: Solve for x
    x = 718,513,913,104/409,618
  6. Step 6: Final answer
    x = 1,754,107.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.