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Finding the Third Proportional to 128,972 and 144,964

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Solution

The third proportional to 128,972 and 144,964 is: 162,938.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,972 : 144,964 = 144,964 : x
  2. Step 2: Convert to fraction form
    128,972/144,964 = 144,964/x
  3. Step 3: Cross multiply
    128,972x = 144,964 × 144,964
  4. Step 4: Simplify right side
    128,972x = 21,014,561,296
  5. Step 5: Solve for x
    x = 21,014,561,296/128,972
  6. Step 6: Final answer
    x = 162,938.94

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.