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Finding the Third Proportional to 10,777,306.50 and 23,348,436

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Solution

The third proportional to 10,777,306.50 and 23,348,436 is: 50,583,089.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777,306.50 : 23,348,436 = 23,348,436 : x
  2. Step 2: Convert to fraction form
    10,777,306.50/23,348,436 = 23,348,436/x
  3. Step 3: Cross multiply
    10,777,306.50x = 23,348,436 × 23,348,436
  4. Step 4: Simplify right side
    10,777,306.50x = 545,149,463,646,096
  5. Step 5: Solve for x
    x = 545,149,463,646,096/10,777,306.50
  6. Step 6: Final answer
    x = 50,583,089.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.