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Finding the Third Proportional to 5,311,377 and 7,792,780.50

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Solution

The third proportional to 5,311,377 and 7,792,780.50 is: 11,433,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311,377 : 7,792,780.50 = 7,792,780.50 : x
  2. Step 2: Convert to fraction form
    5,311,377/7,792,780.50 = 7,792,780.50/x
  3. Step 3: Cross multiply
    5,311,377x = 7,792,780.50 × 7,792,780.50
  4. Step 4: Simplify right side
    5,311,377x = 60,727,427,921,180.25
  5. Step 5: Solve for x
    x = 60,727,427,921,180.25/5,311,377
  6. Step 6: Final answer
    x = 11,433,462.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.