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Finding the Third Proportional to 12,475,728 and 19,849,176

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Solution

The third proportional to 12,475,728 and 19,849,176 is: 31,580,504.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,475,728 : 19,849,176 = 19,849,176 : x
  2. Step 2: Convert to fraction form
    12,475,728/19,849,176 = 19,849,176/x
  3. Step 3: Cross multiply
    12,475,728x = 19,849,176 × 19,849,176
  4. Step 4: Simplify right side
    12,475,728x = 393,989,787,878,976
  5. Step 5: Solve for x
    x = 393,989,787,878,976/12,475,728
  6. Step 6: Final answer
    x = 31,580,504.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.