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Finding the Third Proportional to 462,679 and 630,321

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Solution

The third proportional to 462,679 and 630,321 is: 858,704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,679 : 630,321 = 630,321 : x
  2. Step 2: Convert to fraction form
    462,679/630,321 = 630,321/x
  3. Step 3: Cross multiply
    462,679x = 630,321 × 630,321
  4. Step 4: Simplify right side
    462,679x = 397,304,563,041
  5. Step 5: Solve for x
    x = 397,304,563,041/462,679
  6. Step 6: Final answer
    x = 858,704.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.