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Finding the Third Proportional to 8,121,724 and 18,058,946

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Solution

The third proportional to 8,121,724 and 18,058,946 is: 40,154,717.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121,724 : 18,058,946 = 18,058,946 : x
  2. Step 2: Convert to fraction form
    8,121,724/18,058,946 = 18,058,946/x
  3. Step 3: Cross multiply
    8,121,724x = 18,058,946 × 18,058,946
  4. Step 4: Simplify right side
    8,121,724x = 326,125,530,630,916
  5. Step 5: Solve for x
    x = 326,125,530,630,916/8,121,724
  6. Step 6: Final answer
    x = 40,154,717.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.