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Finding the Third Proportional to 311,948 and 470,140

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Solution

The third proportional to 311,948 and 470,140 is: 708,552.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,948 : 470,140 = 470,140 : x
  2. Step 2: Convert to fraction form
    311,948/470,140 = 470,140/x
  3. Step 3: Cross multiply
    311,948x = 470,140 × 470,140
  4. Step 4: Simplify right side
    311,948x = 221,031,619,600
  5. Step 5: Solve for x
    x = 221,031,619,600/311,948
  6. Step 6: Final answer
    x = 708,552.77

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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.