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Finding the Third Proportional to 8,215,740 and 12,771,640

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Solution

The third proportional to 8,215,740 and 12,771,640 is: 19,853,937.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215,740 : 12,771,640 = 12,771,640 : x
  2. Step 2: Convert to fraction form
    8,215,740/12,771,640 = 12,771,640/x
  3. Step 3: Cross multiply
    8,215,740x = 12,771,640 × 12,771,640
  4. Step 4: Simplify right side
    8,215,740x = 163,114,788,289,600
  5. Step 5: Solve for x
    x = 163,114,788,289,600/8,215,740
  6. Step 6: Final answer
    x = 19,853,937.48

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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.