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Finding the Third Proportional to 4,768,502 and 10,218,808

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Solution

The third proportional to 4,768,502 and 10,218,808 is: 21,898,708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768,502 : 10,218,808 = 10,218,808 : x
  2. Step 2: Convert to fraction form
    4,768,502/10,218,808 = 10,218,808/x
  3. Step 3: Cross multiply
    4,768,502x = 10,218,808 × 10,218,808
  4. Step 4: Simplify right side
    4,768,502x = 104,424,036,940,864
  5. Step 5: Solve for x
    x = 104,424,036,940,864/4,768,502
  6. Step 6: Final answer
    x = 21,898,708.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.