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Finding the Third Proportional to 14,917,904 and 21,056,517

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Solution

The third proportional to 14,917,904 and 21,056,517 is: 29,721,126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,917,904 : 21,056,517 = 21,056,517 : x
  2. Step 2: Convert to fraction form
    14,917,904/21,056,517 = 21,056,517/x
  3. Step 3: Cross multiply
    14,917,904x = 21,056,517 × 21,056,517
  4. Step 4: Simplify right side
    14,917,904x = 443,376,908,171,289
  5. Step 5: Solve for x
    x = 443,376,908,171,289/14,917,904
  6. Step 6: Final answer
    x = 29,721,126.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.