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Finding the Third Proportional to 143,428 and 315,165

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Solution

The third proportional to 143,428 and 315,165 is: 692,535.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,428 : 315,165 = 315,165 : x
  2. Step 2: Convert to fraction form
    143,428/315,165 = 315,165/x
  3. Step 3: Cross multiply
    143,428x = 315,165 × 315,165
  4. Step 4: Simplify right side
    143,428x = 99,328,977,225
  5. Step 5: Solve for x
    x = 99,328,977,225/143,428
  6. Step 6: Final answer
    x = 692,535.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.