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Finding the Third Proportional to 316,576 and 682,304

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Solution

The third proportional to 316,576 and 682,304 is: 1,470,543.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,576 : 682,304 = 682,304 : x
  2. Step 2: Convert to fraction form
    316,576/682,304 = 682,304/x
  3. Step 3: Cross multiply
    316,576x = 682,304 × 682,304
  4. Step 4: Simplify right side
    316,576x = 465,538,748,416
  5. Step 5: Solve for x
    x = 465,538,748,416/316,576
  6. Step 6: Final answer
    x = 1,470,543.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.