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Finding the Third Proportional to 157,056 and 343,446

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Solution

The third proportional to 157,056 and 343,446 is: 751,038.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,056 : 343,446 = 343,446 : x
  2. Step 2: Convert to fraction form
    157,056/343,446 = 343,446/x
  3. Step 3: Cross multiply
    157,056x = 343,446 × 343,446
  4. Step 4: Simplify right side
    157,056x = 117,955,154,916
  5. Step 5: Solve for x
    x = 117,955,154,916/157,056
  6. Step 6: Final answer
    x = 751,038.83

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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.