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Finding the Third Proportional to 70,005 and 153,621

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Solution

The third proportional to 70,005 and 153,621 is: 337,110.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,005 : 153,621 = 153,621 : x
  2. Step 2: Convert to fraction form
    70,005/153,621 = 153,621/x
  3. Step 3: Cross multiply
    70,005x = 153,621 × 153,621
  4. Step 4: Simplify right side
    70,005x = 23,599,411,641
  5. Step 5: Solve for x
    x = 23,599,411,641/70,005
  6. Step 6: Final answer
    x = 337,110.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.