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Finding the Third Proportional to 9,282,992 and 14,191,312

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Solution

The third proportional to 9,282,992 and 14,191,312 is: 21,694,873.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282,992 : 14,191,312 = 14,191,312 : x
  2. Step 2: Convert to fraction form
    9,282,992/14,191,312 = 14,191,312/x
  3. Step 3: Cross multiply
    9,282,992x = 14,191,312 × 14,191,312
  4. Step 4: Simplify right side
    9,282,992x = 201,393,336,281,344
  5. Step 5: Solve for x
    x = 201,393,336,281,344/9,282,992
  6. Step 6: Final answer
    x = 21,694,873.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.