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Finding the Third Proportional to 8,218,076 and 12,774,732

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Solution

The third proportional to 8,218,076 and 12,774,732 is: 19,857,905.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218,076 : 12,774,732 = 12,774,732 : x
  2. Step 2: Convert to fraction form
    8,218,076/12,774,732 = 12,774,732/x
  3. Step 3: Cross multiply
    8,218,076x = 12,774,732 × 12,774,732
  4. Step 4: Simplify right side
    8,218,076x = 163,193,777,671,824
  5. Step 5: Solve for x
    x = 163,193,777,671,824/8,218,076
  6. Step 6: Final answer
    x = 19,857,905.63

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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.