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Finding the Third Proportional to 311,834 and 470,571

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Solution

The third proportional to 311,834 and 470,571 is: 710,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,834 : 470,571 = 470,571 : x
  2. Step 2: Convert to fraction form
    311,834/470,571 = 470,571/x
  3. Step 3: Cross multiply
    311,834x = 470,571 × 470,571
  4. Step 4: Simplify right side
    311,834x = 221,437,066,041
  5. Step 5: Solve for x
    x = 221,437,066,041/311,834
  6. Step 6: Final answer
    x = 710,112.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.