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Finding the Third Proportional to 19,683 and 42,475

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Solution

The third proportional to 19,683 and 42,475 is: 91,659.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683 : 42,475 = 42,475 : x
  2. Step 2: Convert to fraction form
    19,683/42,475 = 42,475/x
  3. Step 3: Cross multiply
    19,683x = 42,475 × 42,475
  4. Step 4: Simplify right side
    19,683x = 1,804,125,625
  5. Step 5: Solve for x
    x = 1,804,125,625/19,683
  6. Step 6: Final answer
    x = 91,659.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.