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Finding the Third Proportional to 4,756,640 and 10,457,920

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Solution

The third proportional to 4,756,640 and 10,457,920 is: 22,992,719.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756,640 : 10,457,920 = 10,457,920 : x
  2. Step 2: Convert to fraction form
    4,756,640/10,457,920 = 10,457,920/x
  3. Step 3: Cross multiply
    4,756,640x = 10,457,920 × 10,457,920
  4. Step 4: Simplify right side
    4,756,640x = 109,368,090,726,400
  5. Step 5: Solve for x
    x = 109,368,090,726,400/4,756,640
  6. Step 6: Final answer
    x = 22,992,719.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.