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Finding the Third Proportional to 158,757 and 340,534

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Solution

The third proportional to 158,757 and 340,534 is: 730,445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,757 : 340,534 = 340,534 : x
  2. Step 2: Convert to fraction form
    158,757/340,534 = 340,534/x
  3. Step 3: Cross multiply
    158,757x = 340,534 × 340,534
  4. Step 4: Simplify right side
    158,757x = 115,963,405,156
  5. Step 5: Solve for x
    x = 115,963,405,156/158,757
  6. Step 6: Final answer
    x = 730,445.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.