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Finding the Third Proportional to 8,737,720 and 13,676,820

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Solution

The third proportional to 8,737,720 and 13,676,820 is: 21,407,804.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737,720 : 13,676,820 = 13,676,820 : x
  2. Step 2: Convert to fraction form
    8,737,720/13,676,820 = 13,676,820/x
  3. Step 3: Cross multiply
    8,737,720x = 13,676,820 × 13,676,820
  4. Step 4: Simplify right side
    8,737,720x = 187,055,405,312,400
  5. Step 5: Solve for x
    x = 187,055,405,312,400/8,737,720
  6. Step 6: Final answer
    x = 21,407,804.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.