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Finding the Third Proportional to 20,957,640 and 45,605,712

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Solution

The third proportional to 20,957,640 and 45,605,712 is: 99,242,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957,640 : 45,605,712 = 45,605,712 : x
  2. Step 2: Convert to fraction form
    20,957,640/45,605,712 = 45,605,712/x
  3. Step 3: Cross multiply
    20,957,640x = 45,605,712 × 45,605,712
  4. Step 4: Simplify right side
    20,957,640x = 2,079,880,967,026,944
  5. Step 5: Solve for x
    x = 2,079,880,967,026,944/20,957,640
  6. Step 6: Final answer
    x = 99,242,136.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.