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Finding the Third Proportional to 8,777,010 and 11,646,157.50

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Solution

The third proportional to 8,777,010 and 11,646,157.50 is: 15,453,210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,777,010 : 11,646,157.50 = 11,646,157.50 : x
  2. Step 2: Convert to fraction form
    8,777,010/11,646,157.50 = 11,646,157.50/x
  3. Step 3: Cross multiply
    8,777,010x = 11,646,157.50 × 11,646,157.50
  4. Step 4: Simplify right side
    8,777,010x = 135,632,984,514,806.25
  5. Step 5: Solve for x
    x = 135,632,984,514,806.25/8,777,010
  6. Step 6: Final answer
    x = 15,453,210.66

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.