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Finding the Third Proportional to 306,732 and 470,811

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Solution

The third proportional to 306,732 and 470,811 is: 722,660.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,732 : 470,811 = 470,811 : x
  2. Step 2: Convert to fraction form
    306,732/470,811 = 470,811/x
  3. Step 3: Cross multiply
    306,732x = 470,811 × 470,811
  4. Step 4: Simplify right side
    306,732x = 221,662,997,721
  5. Step 5: Solve for x
    x = 221,662,997,721/306,732
  6. Step 6: Final answer
    x = 722,660.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.