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Finding the Third Proportional to 13,857,732 and 21,768,966

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Solution

The third proportional to 13,857,732 and 21,768,966 is: 34,196,640.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857,732 : 21,768,966 = 21,768,966 : x
  2. Step 2: Convert to fraction form
    13,857,732/21,768,966 = 21,768,966/x
  3. Step 3: Cross multiply
    13,857,732x = 21,768,966 × 21,768,966
  4. Step 4: Simplify right side
    13,857,732x = 473,887,880,709,156
  5. Step 5: Solve for x
    x = 473,887,880,709,156/13,857,732
  6. Step 6: Final answer
    x = 34,196,640.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.