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Finding the Third Proportional to 8,218,084 and 12,774,746

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Solution

The third proportional to 8,218,084 and 12,774,746 is: 19,857,929.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218,084 : 12,774,746 = 12,774,746 : x
  2. Step 2: Convert to fraction form
    8,218,084/12,774,746 = 12,774,746/x
  3. Step 3: Cross multiply
    8,218,084x = 12,774,746 × 12,774,746
  4. Step 4: Simplify right side
    8,218,084x = 163,194,135,364,516
  5. Step 5: Solve for x
    x = 163,194,135,364,516/8,218,084
  6. Step 6: Final answer
    x = 19,857,929.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.