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Finding the Third Proportional to 128,429 and 201,460

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Solution

The third proportional to 128,429 and 201,460 is: 316,019.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,429 : 201,460 = 201,460 : x
  2. Step 2: Convert to fraction form
    128,429/201,460 = 201,460/x
  3. Step 3: Cross multiply
    128,429x = 201,460 × 201,460
  4. Step 4: Simplify right side
    128,429x = 40,586,131,600
  5. Step 5: Solve for x
    x = 40,586,131,600/128,429
  6. Step 6: Final answer
    x = 316,019.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.