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Finding the Third Proportional to 6,438,534 and 13,644,705

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Solution

The third proportional to 6,438,534 and 13,644,705 is: 28,916,205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438,534 : 13,644,705 = 13,644,705 : x
  2. Step 2: Convert to fraction form
    6,438,534/13,644,705 = 13,644,705/x
  3. Step 3: Cross multiply
    6,438,534x = 13,644,705 × 13,644,705
  4. Step 4: Simplify right side
    6,438,534x = 186,177,974,537,025
  5. Step 5: Solve for x
    x = 186,177,974,537,025/6,438,534
  6. Step 6: Final answer
    x = 28,916,205.85

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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.