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Finding the Third Proportional to 4,972,752 and 7,678,800

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Solution

The third proportional to 4,972,752 and 7,678,800 is: 11,857,412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972,752 : 7,678,800 = 7,678,800 : x
  2. Step 2: Convert to fraction form
    4,972,752/7,678,800 = 7,678,800/x
  3. Step 3: Cross multiply
    4,972,752x = 7,678,800 × 7,678,800
  4. Step 4: Simplify right side
    4,972,752x = 58,963,969,440,000
  5. Step 5: Solve for x
    x = 58,963,969,440,000/4,972,752
  6. Step 6: Final answer
    x = 11,857,412.04

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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.