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Finding the Third Proportional to 159,390 and 346,819.50

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Solution

The third proportional to 159,390 and 346,819.50 is: 754,650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,390 : 346,819.50 = 346,819.50 : x
  2. Step 2: Convert to fraction form
    159,390/346,819.50 = 346,819.50/x
  3. Step 3: Cross multiply
    159,390x = 346,819.50 × 346,819.50
  4. Step 4: Simplify right side
    159,390x = 120,283,765,580.25
  5. Step 5: Solve for x
    x = 120,283,765,580.25/159,390
  6. Step 6: Final answer
    x = 754,650.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.