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Finding the Third Proportional to 157,060 and 340,880

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Solution

The third proportional to 157,060 and 340,880 is: 739,839.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,060 : 340,880 = 340,880 : x
  2. Step 2: Convert to fraction form
    157,060/340,880 = 340,880/x
  3. Step 3: Cross multiply
    157,060x = 340,880 × 340,880
  4. Step 4: Simplify right side
    157,060x = 116,199,174,400
  5. Step 5: Solve for x
    x = 116,199,174,400/157,060
  6. Step 6: Final answer
    x = 739,839.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.