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Finding the Third Proportional to 157,053 and 343,441

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Solution

The third proportional to 157,053 and 343,441 is: 751,031.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,053 : 343,441 = 343,441 : x
  2. Step 2: Convert to fraction form
    157,053/343,441 = 343,441/x
  3. Step 3: Cross multiply
    157,053x = 343,441 × 343,441
  4. Step 4: Simplify right side
    157,053x = 117,951,720,481
  5. Step 5: Solve for x
    x = 117,951,720,481/157,053
  6. Step 6: Final answer
    x = 751,031.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.