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Finding the Third Proportional to 311,817.75 and 470,535

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Solution

The third proportional to 311,817.75 and 470,535 is: 710,040.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,817.75 : 470,535 = 470,535 : x
  2. Step 2: Convert to fraction form
    311,817.75/470,535 = 470,535/x
  3. Step 3: Cross multiply
    311,817.75x = 470,535 × 470,535
  4. Step 4: Simplify right side
    311,817.75x = 221,403,186,225
  5. Step 5: Solve for x
    x = 221,403,186,225/311,817.75
  6. Step 6: Final answer
    x = 710,040.36

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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.