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Finding the Third Proportional to 6,438,528 and 13,644,693

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Solution

The third proportional to 6,438,528 and 13,644,693 is: 28,916,181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438,528 : 13,644,693 = 13,644,693 : x
  2. Step 2: Convert to fraction form
    6,438,528/13,644,693 = 13,644,693/x
  3. Step 3: Cross multiply
    6,438,528x = 13,644,693 × 13,644,693
  4. Step 4: Simplify right side
    6,438,528x = 186,177,647,064,249
  5. Step 5: Solve for x
    x = 186,177,647,064,249/6,438,528
  6. Step 6: Final answer
    x = 28,916,181.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.