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Finding the Third Proportional to 9,687,605 and 20,378,962

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Solution

The third proportional to 9,687,605 and 20,378,962 is: 42,869,428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687,605 : 20,378,962 = 20,378,962 : x
  2. Step 2: Convert to fraction form
    9,687,605/20,378,962 = 20,378,962/x
  3. Step 3: Cross multiply
    9,687,605x = 20,378,962 × 20,378,962
  4. Step 4: Simplify right side
    9,687,605x = 415,302,092,197,444
  5. Step 5: Solve for x
    x = 415,302,092,197,444/9,687,605
  6. Step 6: Final answer
    x = 42,869,428.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.