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Finding the Third Proportional to 159,780 and 351,090

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Solution

The third proportional to 159,780 and 351,090 is: 771,461.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,780 : 351,090 = 351,090 : x
  2. Step 2: Convert to fraction form
    159,780/351,090 = 351,090/x
  3. Step 3: Cross multiply
    159,780x = 351,090 × 351,090
  4. Step 4: Simplify right side
    159,780x = 123,264,188,100
  5. Step 5: Solve for x
    x = 123,264,188,100/159,780
  6. Step 6: Final answer
    x = 771,461.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.