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Finding the Third Proportional to 143,412 and 210,038

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Solution

The third proportional to 143,412 and 210,038 is: 307,616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,412 : 210,038 = 210,038 : x
  2. Step 2: Convert to fraction form
    143,412/210,038 = 210,038/x
  3. Step 3: Cross multiply
    143,412x = 210,038 × 210,038
  4. Step 4: Simplify right side
    143,412x = 44,115,961,444
  5. Step 5: Solve for x
    x = 44,115,961,444/143,412
  6. Step 6: Final answer
    x = 307,616.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.