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Finding the Third Proportional to 311,938 and 470,716

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Solution

The third proportional to 311,938 and 470,716 is: 710,312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,938 : 470,716 = 470,716 : x
  2. Step 2: Convert to fraction form
    311,938/470,716 = 470,716/x
  3. Step 3: Cross multiply
    311,938x = 470,716 × 470,716
  4. Step 4: Simplify right side
    311,938x = 221,573,552,656
  5. Step 5: Solve for x
    x = 221,573,552,656/311,938
  6. Step 6: Final answer
    x = 710,312.80

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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.