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Finding the Third Proportional to 141,778,516.50 and 212,431,254.75

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Solution

The third proportional to 141,778,516.50 and 212,431,254.75 is: 318,292,496.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,778,516.50 : 212,431,254.75 = 212,431,254.75 : x
  2. Step 2: Convert to fraction form
    141,778,516.50/212,431,254.75 = 212,431,254.75/x
  3. Step 3: Cross multiply
    141,778,516.50x = 212,431,254.75 × 212,431,254.75
  4. Step 4: Simplify right side
    141,778,516.50x = 45,127,037,994,659,400
  5. Step 5: Solve for x
    x = 45,127,037,994,659,400/141,778,516.50
  6. Step 6: Final answer
    x = 318,292,496.70

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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.