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Finding the Third Proportional to 462,678 and 630,320

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Solution

The third proportional to 462,678 and 630,320 is: 858,703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,678 : 630,320 = 630,320 : x
  2. Step 2: Convert to fraction form
    462,678/630,320 = 630,320/x
  3. Step 3: Cross multiply
    462,678x = 630,320 × 630,320
  4. Step 4: Simplify right side
    462,678x = 397,303,302,400
  5. Step 5: Solve for x
    x = 397,303,302,400/462,678
  6. Step 6: Final answer
    x = 858,703.68

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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.