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Finding the Third Proportional to 8,364,143 and 12,786,617

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Solution

The third proportional to 8,364,143 and 12,786,617 is: 19,547,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364,143 : 12,786,617 = 12,786,617 : x
  2. Step 2: Convert to fraction form
    8,364,143/12,786,617 = 12,786,617/x
  3. Step 3: Cross multiply
    8,364,143x = 12,786,617 × 12,786,617
  4. Step 4: Simplify right side
    8,364,143x = 163,497,574,304,689
  5. Step 5: Solve for x
    x = 163,497,574,304,689/8,364,143
  6. Step 6: Final answer
    x = 19,547,438.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.