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Finding the Third Proportional to 128,445 and 170,431.50

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Solution

The third proportional to 128,445 and 170,431.50 is: 226,142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,445 : 170,431.50 = 170,431.50 : x
  2. Step 2: Convert to fraction form
    128,445/170,431.50 = 170,431.50/x
  3. Step 3: Cross multiply
    128,445x = 170,431.50 × 170,431.50
  4. Step 4: Simplify right side
    128,445x = 29,046,896,192.25
  5. Step 5: Solve for x
    x = 29,046,896,192.25/128,445
  6. Step 6: Final answer
    x = 226,142.68

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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.