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Finding the Third Proportional to 153,777 and 330,546

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Solution

The third proportional to 153,777 and 330,546 is: 710,513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,777 : 330,546 = 330,546 : x
  2. Step 2: Convert to fraction form
    153,777/330,546 = 330,546/x
  3. Step 3: Cross multiply
    153,777x = 330,546 × 330,546
  4. Step 4: Simplify right side
    153,777x = 109,260,658,116
  5. Step 5: Solve for x
    x = 109,260,658,116/153,777
  6. Step 6: Final answer
    x = 710,513.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.