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Finding the Third Proportional to 154,710 and 329,853

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Solution

The third proportional to 154,710 and 329,853 is: 703,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,710 : 329,853 = 329,853 : x
  2. Step 2: Convert to fraction form
    154,710/329,853 = 329,853/x
  3. Step 3: Cross multiply
    154,710x = 329,853 × 329,853
  4. Step 4: Simplify right side
    154,710x = 108,803,001,609
  5. Step 5: Solve for x
    x = 108,803,001,609/154,710
  6. Step 6: Final answer
    x = 703,270.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.