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Finding the Third Proportional to 143,128 and 210,315

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Solution

The third proportional to 143,128 and 210,315 is: 309,040.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,128 : 210,315 = 210,315 : x
  2. Step 2: Convert to fraction form
    143,128/210,315 = 210,315/x
  3. Step 3: Cross multiply
    143,128x = 210,315 × 210,315
  4. Step 4: Simplify right side
    143,128x = 44,232,399,225
  5. Step 5: Solve for x
    x = 44,232,399,225/143,128
  6. Step 6: Final answer
    x = 309,040.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.