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Finding the Third Proportional to 86,981.34 and 127,357.31

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Solution

The third proportional to 86,981.34 and 127,357.31 is: 186,475.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,981.34 : 127,357.31 = 127,357.31 : x
  2. Step 2: Convert to fraction form
    86,981.34/127,357.31 = 127,357.31/x
  3. Step 3: Cross multiply
    86,981.34x = 127,357.31 × 127,357.31
  4. Step 4: Simplify right side
    86,981.34x = 16,219,885,047.22
  5. Step 5: Solve for x
    x = 16,219,885,047.22/86,981.34
  6. Step 6: Final answer
    x = 186,475.45

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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.