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Finding the Third Proportional to 158,645 and 343,426

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Solution

The third proportional to 158,645 and 343,426 is: 743,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,645 : 343,426 = 343,426 : x
  2. Step 2: Convert to fraction form
    158,645/343,426 = 343,426/x
  3. Step 3: Cross multiply
    158,645x = 343,426 × 343,426
  4. Step 4: Simplify right side
    158,645x = 117,941,417,476
  5. Step 5: Solve for x
    x = 117,941,417,476/158,645
  6. Step 6: Final answer
    x = 743,429.78

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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.