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Finding the Third Proportional to 4,723,221 and 9,782,511

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Solution

The third proportional to 4,723,221 and 9,782,511 is: 20,261,072.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723,221 : 9,782,511 = 9,782,511 : x
  2. Step 2: Convert to fraction form
    4,723,221/9,782,511 = 9,782,511/x
  3. Step 3: Cross multiply
    4,723,221x = 9,782,511 × 9,782,511
  4. Step 4: Simplify right side
    4,723,221x = 95,697,521,465,121
  5. Step 5: Solve for x
    x = 95,697,521,465,121/4,723,221
  6. Step 6: Final answer
    x = 20,261,072.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.