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Finding the Third Proportional to 157,509 and 345,645

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Solution

The third proportional to 157,509 and 345,645 is: 758,499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,509 : 345,645 = 345,645 : x
  2. Step 2: Convert to fraction form
    157,509/345,645 = 345,645/x
  3. Step 3: Cross multiply
    157,509x = 345,645 × 345,645
  4. Step 4: Simplify right side
    157,509x = 119,470,466,025
  5. Step 5: Solve for x
    x = 119,470,466,025/157,509
  6. Step 6: Final answer
    x = 758,499.30

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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.