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Finding the Third Proportional to 12,409,368 and 18,538,965

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Solution

The third proportional to 12,409,368 and 18,538,965 is: 27,696,271.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409,368 : 18,538,965 = 18,538,965 : x
  2. Step 2: Convert to fraction form
    12,409,368/18,538,965 = 18,538,965/x
  3. Step 3: Cross multiply
    12,409,368x = 18,538,965 × 18,538,965
  4. Step 4: Simplify right side
    12,409,368x = 343,693,223,271,225
  5. Step 5: Solve for x
    x = 343,693,223,271,225/12,409,368
  6. Step 6: Final answer
    x = 27,696,271.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.