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Finding the Third Proportional to 153,907 and 335,557

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Solution

The third proportional to 153,907 and 335,557 is: 731,600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,907 : 335,557 = 335,557 : x
  2. Step 2: Convert to fraction form
    153,907/335,557 = 335,557/x
  3. Step 3: Cross multiply
    153,907x = 335,557 × 335,557
  4. Step 4: Simplify right side
    153,907x = 112,598,500,249
  5. Step 5: Solve for x
    x = 112,598,500,249/153,907
  6. Step 6: Final answer
    x = 731,600.90

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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.