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Finding the Third Proportional to 21,105,669 and 31,534,261

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Solution

The third proportional to 21,105,669 and 31,534,261 is: 47,115,759.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,105,669 : 31,534,261 = 31,534,261 : x
  2. Step 2: Convert to fraction form
    21,105,669/31,534,261 = 31,534,261/x
  3. Step 3: Cross multiply
    21,105,669x = 31,534,261 × 31,534,261
  4. Step 4: Simplify right side
    21,105,669x = 994,409,616,816,121
  5. Step 5: Solve for x
    x = 994,409,616,816,121/21,105,669
  6. Step 6: Final answer
    x = 47,115,759.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.