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Finding the Third Proportional to 156,618 and 343,853

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Solution

The third proportional to 156,618 and 343,853 is: 754,925.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,618 : 343,853 = 343,853 : x
  2. Step 2: Convert to fraction form
    156,618/343,853 = 343,853/x
  3. Step 3: Cross multiply
    156,618x = 343,853 × 343,853
  4. Step 4: Simplify right side
    156,618x = 118,234,885,609
  5. Step 5: Solve for x
    x = 118,234,885,609/156,618
  6. Step 6: Final answer
    x = 754,925.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.