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Finding the Third Proportional to 145,429,100 and 311,013,593

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Solution

The third proportional to 145,429,100 and 311,013,593 is: 665,131,359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,429,100 : 311,013,593 = 311,013,593 : x
  2. Step 2: Convert to fraction form
    145,429,100/311,013,593 = 311,013,593/x
  3. Step 3: Cross multiply
    145,429,100x = 311,013,593 × 311,013,593
  4. Step 4: Simplify right side
    145,429,100x = 96,729,455,030,769,648
  5. Step 5: Solve for x
    x = 96,729,455,030,769,648/145,429,100
  6. Step 6: Final answer
    x = 665,131,359.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.