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Finding the Third Proportional to 12,846,080 and 18,786,840

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Solution

The third proportional to 12,846,080 and 18,786,840 is: 27,474,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846,080 : 18,786,840 = 18,786,840 : x
  2. Step 2: Convert to fraction form
    12,846,080/18,786,840 = 18,786,840/x
  3. Step 3: Cross multiply
    12,846,080x = 18,786,840 × 18,786,840
  4. Step 4: Simplify right side
    12,846,080x = 352,945,357,185,600
  5. Step 5: Solve for x
    x = 352,945,357,185,600/12,846,080
  6. Step 6: Final answer
    x = 27,474,946.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.