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Finding the Third Proportional to 7,460,640 and 11,520,657

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Solution

The third proportional to 7,460,640 and 11,520,657 is: 17,790,100.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460,640 : 11,520,657 = 11,520,657 : x
  2. Step 2: Convert to fraction form
    7,460,640/11,520,657 = 11,520,657/x
  3. Step 3: Cross multiply
    7,460,640x = 11,520,657 × 11,520,657
  4. Step 4: Simplify right side
    7,460,640x = 132,725,537,711,649
  5. Step 5: Solve for x
    x = 132,725,537,711,649/7,460,640
  6. Step 6: Final answer
    x = 17,790,100.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.