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Finding the Third Proportional to 380,870,854.50 and 536,350,091.25

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Solution

The third proportional to 380,870,854.50 and 536,350,091.25 is: 755,299,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,870,854.50 : 536,350,091.25 = 536,350,091.25 : x
  2. Step 2: Convert to fraction form
    380,870,854.50/536,350,091.25 = 536,350,091.25/x
  3. Step 3: Cross multiply
    380,870,854.50x = 536,350,091.25 × 536,350,091.25
  4. Step 4: Simplify right side
    380,870,854.50x = 287,671,420,383,883,328
  5. Step 5: Solve for x
    x = 287,671,420,383,883,328/380,870,854.50
  6. Step 6: Final answer
    x = 755,299,117.76

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.