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Finding the Third Proportional to 157,219.31 and 339,335.16

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Solution

The third proportional to 157,219.31 and 339,335.16 is: 732,405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,219.31 : 339,335.16 = 339,335.16 : x
  2. Step 2: Convert to fraction form
    157,219.31/339,335.16 = 339,335.16/x
  3. Step 3: Cross multiply
    157,219.31x = 339,335.16 × 339,335.16
  4. Step 4: Simplify right side
    157,219.31x = 115,148,348,267.21
  5. Step 5: Solve for x
    x = 115,148,348,267.21/157,219.31
  6. Step 6: Final answer
    x = 732,405.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.