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Finding the Third Proportional to 39,784 and 53,840

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Solution

The third proportional to 39,784 and 53,840 is: 72,862.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,784 : 53,840 = 53,840 : x
  2. Step 2: Convert to fraction form
    39,784/53,840 = 53,840/x
  3. Step 3: Cross multiply
    39,784x = 53,840 × 53,840
  4. Step 4: Simplify right side
    39,784x = 2,898,745,600
  5. Step 5: Solve for x
    x = 2,898,745,600/39,784
  6. Step 6: Final answer
    x = 72,862.10

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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.