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Finding the Third Proportional to 4,786 and 7,854

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Solution

The third proportional to 4,786 and 7,854 is: 12,888.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786 : 7,854 = 7,854 : x
  2. Step 2: Convert to fraction form
    4,786/7,854 = 7,854/x
  3. Step 3: Cross multiply
    4,786x = 7,854 × 7,854
  4. Step 4: Simplify right side
    4,786x = 61,685,316
  5. Step 5: Solve for x
    x = 61,685,316/4,786
  6. Step 6: Final answer
    x = 12,888.70

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.