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Finding the Third Proportional to 19,872,456 and 40,475,640

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Solution

The third proportional to 19,872,456 and 40,475,640 is: 82,439,605.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,872,456 : 40,475,640 = 40,475,640 : x
  2. Step 2: Convert to fraction form
    19,872,456/40,475,640 = 40,475,640/x
  3. Step 3: Cross multiply
    19,872,456x = 40,475,640 × 40,475,640
  4. Step 4: Simplify right side
    19,872,456x = 1,638,277,433,409,600
  5. Step 5: Solve for x
    x = 1,638,277,433,409,600/19,872,456
  6. Step 6: Final answer
    x = 82,439,605.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.