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Finding the Third Proportional to 154,143 and 343,359

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Solution

The third proportional to 154,143 and 343,359 is: 764,844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,143 : 343,359 = 343,359 : x
  2. Step 2: Convert to fraction form
    154,143/343,359 = 343,359/x
  3. Step 3: Cross multiply
    154,143x = 343,359 × 343,359
  4. Step 4: Simplify right side
    154,143x = 117,895,402,881
  5. Step 5: Solve for x
    x = 117,895,402,881/154,143
  6. Step 6: Final answer
    x = 764,844.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.