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Finding the Third Proportional to 5,616 and 7,776

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Solution

The third proportional to 5,616 and 7,776 is: 10,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616 : 7,776 = 7,776 : x
  2. Step 2: Convert to fraction form
    5,616/7,776 = 7,776/x
  3. Step 3: Cross multiply
    5,616x = 7,776 × 7,776
  4. Step 4: Simplify right side
    5,616x = 60,466,176
  5. Step 5: Solve for x
    x = 60,466,176/5,616
  6. Step 6: Final answer
    x = 10,766.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.