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Finding the Third Proportional to 142,463,211 and 212,856,185.25

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Solution

The third proportional to 142,463,211 and 212,856,185.25 is: 318,031,267.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,463,211 : 212,856,185.25 = 212,856,185.25 : x
  2. Step 2: Convert to fraction form
    142,463,211/212,856,185.25 = 212,856,185.25/x
  3. Step 3: Cross multiply
    142,463,211x = 212,856,185.25 × 212,856,185.25
  4. Step 4: Simplify right side
    142,463,211x = 45,307,755,599,182,320
  5. Step 5: Solve for x
    x = 45,307,755,599,182,320/142,463,211
  6. Step 6: Final answer
    x = 318,031,267.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.