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Finding the Third Proportional to 19,683 and 36,495

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Solution

The third proportional to 19,683 and 36,495 is: 67,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683 : 36,495 = 36,495 : x
  2. Step 2: Convert to fraction form
    19,683/36,495 = 36,495/x
  3. Step 3: Cross multiply
    19,683x = 36,495 × 36,495
  4. Step 4: Simplify right side
    19,683x = 1,331,885,025
  5. Step 5: Solve for x
    x = 1,331,885,025/19,683
  6. Step 6: Final answer
    x = 67,666.77

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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.