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Finding the Third Proportional to 453,721 and 978,153

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Solution

The third proportional to 453,721 and 978,153 is: 2,108,748.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,721 : 978,153 = 978,153 : x
  2. Step 2: Convert to fraction form
    453,721/978,153 = 978,153/x
  3. Step 3: Cross multiply
    453,721x = 978,153 × 978,153
  4. Step 4: Simplify right side
    453,721x = 956,783,291,409
  5. Step 5: Solve for x
    x = 956,783,291,409/453,721
  6. Step 6: Final answer
    x = 2,108,748.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.