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Finding the Third Proportional to 20,231,878 and 30,348,464

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Solution

The third proportional to 20,231,878 and 30,348,464 is: 45,523,666.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,231,878 : 30,348,464 = 30,348,464 : x
  2. Step 2: Convert to fraction form
    20,231,878/30,348,464 = 30,348,464/x
  3. Step 3: Cross multiply
    20,231,878x = 30,348,464 × 30,348,464
  4. Step 4: Simplify right side
    20,231,878x = 921,029,267,159,296
  5. Step 5: Solve for x
    x = 921,029,267,159,296/20,231,878
  6. Step 6: Final answer
    x = 45,523,666.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.