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Finding the Third Proportional to 138,996 and 305,056.13

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Solution

The third proportional to 138,996 and 305,056.13 is: 669,510.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,996 : 305,056.13 = 305,056.13 : x
  2. Step 2: Convert to fraction form
    138,996/305,056.13 = 305,056.13/x
  3. Step 3: Cross multiply
    138,996x = 305,056.13 × 305,056.13
  4. Step 4: Simplify right side
    138,996x = 93,059,239,400.02
  5. Step 5: Solve for x
    x = 93,059,239,400.02/138,996
  6. Step 6: Final answer
    x = 669,510.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.