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Finding the Third Proportional to 153,043 and 324,613

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Solution

The third proportional to 153,043 and 324,613 is: 688,522.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,043 : 324,613 = 324,613 : x
  2. Step 2: Convert to fraction form
    153,043/324,613 = 324,613/x
  3. Step 3: Cross multiply
    153,043x = 324,613 × 324,613
  4. Step 4: Simplify right side
    153,043x = 105,373,599,769
  5. Step 5: Solve for x
    x = 105,373,599,769/153,043
  6. Step 6: Final answer
    x = 688,522.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.