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Finding the Third Proportional to 284,226,412.50 and 428,439,138.75

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Solution

The third proportional to 284,226,412.50 and 428,439,138.75 is: 645,823,496.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,226,412.50 : 428,439,138.75 = 428,439,138.75 : x
  2. Step 2: Convert to fraction form
    284,226,412.50/428,439,138.75 = 428,439,138.75/x
  3. Step 3: Cross multiply
    284,226,412.50x = 428,439,138.75 × 428,439,138.75
  4. Step 4: Simplify right side
    284,226,412.50x = 183,560,095,612,841,760
  5. Step 5: Solve for x
    x = 183,560,095,612,841,760/284,226,412.50
  6. Step 6: Final answer
    x = 645,823,496.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.