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Finding the Third Proportional to 153,781 and 330,553

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Solution

The third proportional to 153,781 and 330,553 is: 710,525.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,781 : 330,553 = 330,553 : x
  2. Step 2: Convert to fraction form
    153,781/330,553 = 330,553/x
  3. Step 3: Cross multiply
    153,781x = 330,553 × 330,553
  4. Step 4: Simplify right side
    153,781x = 109,265,285,809
  5. Step 5: Solve for x
    x = 109,265,285,809/153,781
  6. Step 6: Final answer
    x = 710,525.27

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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.