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Finding the Third Proportional to 9,274,400 and 19,781,368

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Solution

The third proportional to 9,274,400 and 19,781,368 is: 42,191,680.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274,400 : 19,781,368 = 19,781,368 : x
  2. Step 2: Convert to fraction form
    9,274,400/19,781,368 = 19,781,368/x
  3. Step 3: Cross multiply
    9,274,400x = 19,781,368 × 19,781,368
  4. Step 4: Simplify right side
    9,274,400x = 391,302,519,951,424
  5. Step 5: Solve for x
    x = 391,302,519,951,424/9,274,400
  6. Step 6: Final answer
    x = 42,191,680.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.