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Finding the Third Proportional to 8,684,769 and 12,774,507

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Solution

The third proportional to 8,684,769 and 12,774,507 is: 18,790,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684,769 : 12,774,507 = 12,774,507 : x
  2. Step 2: Convert to fraction form
    8,684,769/12,774,507 = 12,774,507/x
  3. Step 3: Cross multiply
    8,684,769x = 12,774,507 × 12,774,507
  4. Step 4: Simplify right side
    8,684,769x = 163,188,029,093,049
  5. Step 5: Solve for x
    x = 163,188,029,093,049/8,684,769
  6. Step 6: Final answer
    x = 18,790,140.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.