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Finding the Third Proportional to 10,872,436 and 15,208,442

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Solution

The third proportional to 10,872,436 and 15,208,442 is: 21,273,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872,436 : 15,208,442 = 15,208,442 : x
  2. Step 2: Convert to fraction form
    10,872,436/15,208,442 = 15,208,442/x
  3. Step 3: Cross multiply
    10,872,436x = 15,208,442 × 15,208,442
  4. Step 4: Simplify right side
    10,872,436x = 231,296,708,067,364
  5. Step 5: Solve for x
    x = 231,296,708,067,364/10,872,436
  6. Step 6: Final answer
    x = 21,273,678.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.