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Finding the Third Proportional to 143,477 and 314,225

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Solution

The third proportional to 143,477 and 314,225 is: 688,175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,477 : 314,225 = 314,225 : x
  2. Step 2: Convert to fraction form
    143,477/314,225 = 314,225/x
  3. Step 3: Cross multiply
    143,477x = 314,225 × 314,225
  4. Step 4: Simplify right side
    143,477x = 98,737,350,625
  5. Step 5: Solve for x
    x = 98,737,350,625/143,477
  6. Step 6: Final answer
    x = 688,175.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.