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Finding the Third Proportional to 21,824,391 and 30,345,071

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Solution

The third proportional to 21,824,391 and 30,345,071 is: 42,192,395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824,391 : 30,345,071 = 30,345,071 : x
  2. Step 2: Convert to fraction form
    21,824,391/30,345,071 = 30,345,071/x
  3. Step 3: Cross multiply
    21,824,391x = 30,345,071 × 30,345,071
  4. Step 4: Simplify right side
    21,824,391x = 920,823,333,995,041
  5. Step 5: Solve for x
    x = 920,823,333,995,041/21,824,391
  6. Step 6: Final answer
    x = 42,192,395.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.