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Finding the Third Proportional to 7,422,309 and 11,492,617.50

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Solution

The third proportional to 7,422,309 and 11,492,617.50 is: 17,795,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,422,309 : 11,492,617.50 = 11,492,617.50 : x
  2. Step 2: Convert to fraction form
    7,422,309/11,492,617.50 = 11,492,617.50/x
  3. Step 3: Cross multiply
    7,422,309x = 11,492,617.50 × 11,492,617.50
  4. Step 4: Simplify right side
    7,422,309x = 132,080,257,001,306.25
  5. Step 5: Solve for x
    x = 132,080,257,001,306.25/7,422,309
  6. Step 6: Final answer
    x = 17,795,036.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.