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Finding the Third Proportional to 7,785 and 14,418

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Solution

The third proportional to 7,785 and 14,418 is: 26,702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785 : 14,418 = 14,418 : x
  2. Step 2: Convert to fraction form
    7,785/14,418 = 14,418/x
  3. Step 3: Cross multiply
    7,785x = 14,418 × 14,418
  4. Step 4: Simplify right side
    7,785x = 207,878,724
  5. Step 5: Solve for x
    x = 207,878,724/7,785
  6. Step 6: Final answer
    x = 26,702.47

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.