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Finding the Third Proportional to 12,159,056 and 18,974,713

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Solution

The third proportional to 12,159,056 and 18,974,713 is: 29,610,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159,056 : 18,974,713 = 18,974,713 : x
  2. Step 2: Convert to fraction form
    12,159,056/18,974,713 = 18,974,713/x
  3. Step 3: Cross multiply
    12,159,056x = 18,974,713 × 18,974,713
  4. Step 4: Simplify right side
    12,159,056x = 360,039,733,432,369
  5. Step 5: Solve for x
    x = 360,039,733,432,369/12,159,056
  6. Step 6: Final answer
    x = 29,610,829.45

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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.