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Finding the Third Proportional to 10,785,984 and 15,171,252

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Solution

The third proportional to 10,785,984 and 15,171,252 is: 21,339,442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785,984 : 15,171,252 = 15,171,252 : x
  2. Step 2: Convert to fraction form
    10,785,984/15,171,252 = 15,171,252/x
  3. Step 3: Cross multiply
    10,785,984x = 15,171,252 × 15,171,252
  4. Step 4: Simplify right side
    10,785,984x = 230,166,887,247,504
  5. Step 5: Solve for x
    x = 230,166,887,247,504/10,785,984
  6. Step 6: Final answer
    x = 21,339,442.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.