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Finding the Third Proportional to 86,988 and 127,410

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Solution

The third proportional to 86,988 and 127,410 is: 186,615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,988 : 127,410 = 127,410 : x
  2. Step 2: Convert to fraction form
    86,988/127,410 = 127,410/x
  3. Step 3: Cross multiply
    86,988x = 127,410 × 127,410
  4. Step 4: Simplify right side
    86,988x = 16,233,308,100
  5. Step 5: Solve for x
    x = 16,233,308,100/86,988
  6. Step 6: Final answer
    x = 186,615.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.