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Finding the Third Proportional to 142,964 and 210,286

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Solution

The third proportional to 142,964 and 210,286 is: 309,310.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,964 : 210,286 = 210,286 : x
  2. Step 2: Convert to fraction form
    142,964/210,286 = 210,286/x
  3. Step 3: Cross multiply
    142,964x = 210,286 × 210,286
  4. Step 4: Simplify right side
    142,964x = 44,220,201,796
  5. Step 5: Solve for x
    x = 44,220,201,796/142,964
  6. Step 6: Final answer
    x = 309,310.05

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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.