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Finding the Third Proportional to 158,836 and 340,703

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Solution

The third proportional to 158,836 and 340,703 is: 730,807.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,836 : 340,703 = 340,703 : x
  2. Step 2: Convert to fraction form
    158,836/340,703 = 340,703/x
  3. Step 3: Cross multiply
    158,836x = 340,703 × 340,703
  4. Step 4: Simplify right side
    158,836x = 116,078,534,209
  5. Step 5: Solve for x
    x = 116,078,534,209/158,836
  6. Step 6: Final answer
    x = 730,807.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.