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Finding the Third Proportional to 138,070 and 301,984

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Solution

The third proportional to 138,070 and 301,984 is: 660,493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,070 : 301,984 = 301,984 : x
  2. Step 2: Convert to fraction form
    138,070/301,984 = 301,984/x
  3. Step 3: Cross multiply
    138,070x = 301,984 × 301,984
  4. Step 4: Simplify right side
    138,070x = 91,194,336,256
  5. Step 5: Solve for x
    x = 91,194,336,256/138,070
  6. Step 6: Final answer
    x = 660,493.49

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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.