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Finding the Third Proportional to 20,298,765 and 29,328,209

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Solution

The third proportional to 20,298,765 and 29,328,209 is: 42,374,195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298,765 : 29,328,209 = 29,328,209 : x
  2. Step 2: Convert to fraction form
    20,298,765/29,328,209 = 29,328,209/x
  3. Step 3: Cross multiply
    20,298,765x = 29,328,209 × 29,328,209
  4. Step 4: Simplify right side
    20,298,765x = 860,143,843,147,681
  5. Step 5: Solve for x
    x = 860,143,843,147,681/20,298,765
  6. Step 6: Final answer
    x = 42,374,195.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.