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Finding the Third Proportional to 8,212,778 and 12,783,346

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Solution

The third proportional to 8,212,778 and 12,783,346 is: 19,897,522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212,778 : 12,783,346 = 12,783,346 : x
  2. Step 2: Convert to fraction form
    8,212,778/12,783,346 = 12,783,346/x
  3. Step 3: Cross multiply
    8,212,778x = 12,783,346 × 12,783,346
  4. Step 4: Simplify right side
    8,212,778x = 163,413,934,955,716
  5. Step 5: Solve for x
    x = 163,413,934,955,716/8,212,778
  6. Step 6: Final answer
    x = 19,897,522.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.