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Finding the Third Proportional to 13,835,376 and 22,102,128

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Solution

The third proportional to 13,835,376 and 22,102,128 is: 35,308,332.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835,376 : 22,102,128 = 22,102,128 : x
  2. Step 2: Convert to fraction form
    13,835,376/22,102,128 = 22,102,128/x
  3. Step 3: Cross multiply
    13,835,376x = 22,102,128 × 22,102,128
  4. Step 4: Simplify right side
    13,835,376x = 488,504,062,128,384
  5. Step 5: Solve for x
    x = 488,504,062,128,384/13,835,376
  6. Step 6: Final answer
    x = 35,308,332.94

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.