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Finding the Third Proportional to 310,624 and 470,616

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Solution

The third proportional to 310,624 and 470,616 is: 713,014.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,624 : 470,616 = 470,616 : x
  2. Step 2: Convert to fraction form
    310,624/470,616 = 470,616/x
  3. Step 3: Cross multiply
    310,624x = 470,616 × 470,616
  4. Step 4: Simplify right side
    310,624x = 221,479,419,456
  5. Step 5: Solve for x
    x = 221,479,419,456/310,624
  6. Step 6: Final answer
    x = 713,014.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.