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Finding the Third Proportional to 128,428 and 170,457

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Solution

The third proportional to 128,428 and 170,457 is: 226,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,428 : 170,457 = 170,457 : x
  2. Step 2: Convert to fraction form
    128,428/170,457 = 170,457/x
  3. Step 3: Cross multiply
    128,428x = 170,457 × 170,457
  4. Step 4: Simplify right side
    128,428x = 29,055,588,849
  5. Step 5: Solve for x
    x = 29,055,588,849/128,428
  6. Step 6: Final answer
    x = 226,240.30

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.