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Finding the Third Proportional to 142,450,171 and 308,675,780

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Solution

The third proportional to 142,450,171 and 308,675,780 is: 668,870,640.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,450,171 : 308,675,780 = 308,675,780 : x
  2. Step 2: Convert to fraction form
    142,450,171/308,675,780 = 308,675,780/x
  3. Step 3: Cross multiply
    142,450,171x = 308,675,780 × 308,675,780
  4. Step 4: Simplify right side
    142,450,171x = 95,280,737,158,608,400
  5. Step 5: Solve for x
    x = 95,280,737,158,608,400/142,450,171
  6. Step 6: Final answer
    x = 668,870,640.80

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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.