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Finding the Third Proportional to 8,581,645 and 12,952,271

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Solution

The third proportional to 8,581,645 and 12,952,271 is: 19,548,853.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,581,645 : 12,952,271 = 12,952,271 : x
  2. Step 2: Convert to fraction form
    8,581,645/12,952,271 = 12,952,271/x
  3. Step 3: Cross multiply
    8,581,645x = 12,952,271 × 12,952,271
  4. Step 4: Simplify right side
    8,581,645x = 167,761,324,057,441
  5. Step 5: Solve for x
    x = 167,761,324,057,441/8,581,645
  6. Step 6: Final answer
    x = 19,548,853.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.