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Finding the Third Proportional to 86,454 and 127,143

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Solution

The third proportional to 86,454 and 127,143 is: 186,982.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,454 : 127,143 = 127,143 : x
  2. Step 2: Convert to fraction form
    86,454/127,143 = 127,143/x
  3. Step 3: Cross multiply
    86,454x = 127,143 × 127,143
  4. Step 4: Simplify right side
    86,454x = 16,165,342,449
  5. Step 5: Solve for x
    x = 16,165,342,449/86,454
  6. Step 6: Final answer
    x = 186,982.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.