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Finding the Third Proportional to 128,964 and 193,502

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Solution

The third proportional to 128,964 and 193,502 is: 290,337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,964 : 193,502 = 193,502 : x
  2. Step 2: Convert to fraction form
    128,964/193,502 = 193,502/x
  3. Step 3: Cross multiply
    128,964x = 193,502 × 193,502
  4. Step 4: Simplify right side
    128,964x = 37,443,024,004
  5. Step 5: Solve for x
    x = 37,443,024,004/128,964
  6. Step 6: Final answer
    x = 290,337.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.