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Finding the Third Proportional to 311,840 and 470,582

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Solution

The third proportional to 311,840 and 470,582 is: 710,131.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,840 : 470,582 = 470,582 : x
  2. Step 2: Convert to fraction form
    311,840/470,582 = 470,582/x
  3. Step 3: Cross multiply
    311,840x = 470,582 × 470,582
  4. Step 4: Simplify right side
    311,840x = 221,447,418,724
  5. Step 5: Solve for x
    x = 221,447,418,724/311,840
  6. Step 6: Final answer
    x = 710,131.54

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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.