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Finding the Third Proportional to 39,746 and 53,787

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Solution

The third proportional to 39,746 and 53,787 is: 72,788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,746 : 53,787 = 53,787 : x
  2. Step 2: Convert to fraction form
    39,746/53,787 = 53,787/x
  3. Step 3: Cross multiply
    39,746x = 53,787 × 53,787
  4. Step 4: Simplify right side
    39,746x = 2,893,041,369
  5. Step 5: Solve for x
    x = 2,893,041,369/39,746
  6. Step 6: Final answer
    x = 72,788.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.