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Finding the Third Proportional to 12,885,840 and 18,024,804

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Solution

The third proportional to 12,885,840 and 18,024,804 is: 25,213,223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885,840 : 18,024,804 = 18,024,804 : x
  2. Step 2: Convert to fraction form
    12,885,840/18,024,804 = 18,024,804/x
  3. Step 3: Cross multiply
    12,885,840x = 18,024,804 × 18,024,804
  4. Step 4: Simplify right side
    12,885,840x = 324,893,559,238,416
  5. Step 5: Solve for x
    x = 324,893,559,238,416/12,885,840
  6. Step 6: Final answer
    x = 25,213,223.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.